When the date is shown in the Time Machine for the first time the current day of the year displayed is July 29th the current time is 10:05. This episode first aired July 29, 2010 and that particular scene of the episode aired at 10:05 PM.
In the year five million, the world has been split into two races. The small land dwellers, and the undergrounds beasts. Exactly like in H.G. Wells book The Time Machine.
However by the year 10 million they have merged again in one being.
Ironically if Bender had just waited until the evening after to use the backwards time machine that the women's civilisation had invented, he could have used it to travel back only as far as the era of robot war, with Fry and Farnsworth going all the way back to where they had begun to travel. But instead he decided to skip over that era by millions of years. Bender is just that petty.
It seems the Time Machine can travel through time, but not through space, since Farnsworth gives up at the death of the Earth, rather than trying on other planets. How ever to note that the sun revolves around the galaxy as Earth to the sun, the galaxy would not have have been in the same place in the universe and therefore by extension Earth would not have been in the EXACT same place inthe universe for it's lifespan.
This episode introduces several unusual time travel paradoxes not frequently mentioned in science fiction. Due to the cyclical nature of the timelines and the fact that the time machine cycles through three complete big-bang-big-rip scenarios, we are left wondering what happens to the Fry/Professor/Bender who depart in the time machine in the middle cycle? In the third, they are killed before they take off by the initial iteration of the time machine falling on them, so do they skip ahead two cycles as well and kill the trio again in the fourth cycle? Would they see other iterations of the time machine 10 feet above them if they looked out the windshield, as each universe seemed to be "lower" than the last? And what is the time-machine made of that allows its subatomic particles to maintain their integrity beyond the decay of the last proton? The writers are incredible to pull off such magnificent imaginings!
Bender says to Farnsworth "Hand over the keys, Maggo!". This line refrences the classic cartoon character Mister Maggo, who was old, like Farnsworth and was known for being near-sighted and getting himself into crazy situations because he did not wear glasses.
Once the time paradoxes are fixed, Bender exclaims, "Yabba Dabba Doo!", which is the popular catchprase of Fred Flinstone from the vintage cartoon, The Flintstones.
The time machine in this episode is the unfinished one in "A Clone of My Own"