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Yes, it is 16 cubed.
642 = 4096 643 = 262144 64 squared and [then] cubed is: (642)3 = 40963 = 68719476736= 646
Any number to the 6th power will be both a squared number and a cubed number. The first 10 such numbers are: 1 64 729 4096 15625 46656 117649 262144 531441 1000000
The number of times eight can go in to 4096 is 512. 4096 divided by 8= 512
It is: 2 to the power of 12 = 4096