Cubes and Cube ...

Sum of the digits of the smallest number by which $$1440$$ should be multiplied so that it becomes a perfect cube is _____.

Find the smallest number by which $$9000$$ should be divided so that the quotient becomes a perfect cube?

The cube root of $$27^{2}$$ is:

The smallest number by which 2560 must be multiplied so that the product is a perfect cube is:

The smallest natural number by which $$25$$ must be multiplied to get a perfect cube is?

The smallest natural number by which $$1296$$ be divided to get a perfect cube is ______.

Given that, $$512 = 8^{3}$$ and $$3.375 = (1.5)^{3}$$, find the value of $$\sqrt[3]{512} \times \sqrt[3]{3.375}$$

Is $$4096$$ a perfect cube?