the original ipod touch 4th generation had ios 6.1.6.
what ios does the original ipod touch 4th generation have?
ios 6.1.6
game center was announced during an ios 4 preview event hosted by apple on april 8, 2010. a preview was released to registered apple developers in august. it was released on september 8, 2010 with ios 4.1 on iphone 4, iphone 3gs, and ipod touch 2nd generation through 4th generation. game center made its public debut on the ipad with ios 4.2.1. there is no support for the iphone 3g, original iphone and the first-generation ipod touch (the latter two devices did not have game center because they did not get ios 4). however, game center is unofficially available on the iphone 3g via a hack.
ios
the ipod touch (4th generation) (colloquially known as the ipod touch 4g) was the 4th ipod touch by apple inc. released alongside the iphone 4, it was the first ipod to offer front and rear facing cameras. like the iphone 4, it used the apple a4 chip. it supports ios 4, 5,and 6. it was only offered in white and black. the white-colored version was added in october 2011. it was discontinued when apple introduced a 16gb version of its successor, the ipod touch 5 on may 30, 2013, which was sold at the same price point as the ipod touch 4, but with a larger 4" retina display and an apple a5 chip.
ipod touch (4th generation)