54 = 2 x 27 = 2 x 33
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3610 = 19 * 19 * 2 * 5. Each factor must appear 3 times to be a perfect cube, so multiply by (19 * 2 * 2 * 5 * 5) = 1900. And the perfect cube is 6859000
If by cube you mean perfect cube (a cube of an integer), then no, and the nearest perfect cube is 81.
It is a perfect cube.
It is not a perfect cube.
729, cube of 9 and square of 27