The simple answer is 60.
To fully rotate an object you have to turn it through 360 degrees. One sixth of 360 is 60 and so there's your answer.
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There are 60 arcminutes in one degree. There are 360 degrees in a circle. Therefore, one full rotation is equal to 360 x 60 = 21600 arcminutes.
A regular hexagon has a rotation symmetry of 60 degrees, meaning it can be rotated by multiples of 60 degrees and still look the same. This is because a regular hexagon has six equal sides and angles, allowing it to be rotated in increments of 60 degrees to align perfectly. In other words, there are six positions in which a regular hexagon can be rotated to before it repeats its original orientation.
90 Degrees.
40 degrees
180 degrees