Cube root of a number by using its units digit

Possible unit digit of cube root of a number ending with 5 is

The units digit of the square of a number and the units digits of the cube of the number are equal to the units digits of the number .How many values are possibles for the units digits of such number?

Find the cube roots of the following number by finding their units and tens digits. 1) 512 2) 9216

Property 4 Cubes of the numbers ending in digits 1456 and 9 are the numbers ending in the same digit.Cubes of numbers ending in digit 2 ends in digit 8 and the cube of numbers ending in digit 8 ends in digit 2. The cubes of the numbers ending in digits 3 and 7 ends in digit 7 and 3 respectively.

Property 6 The units digit of the square of a natural number is the units digit of the square of the digit at units place of the given natural number.

Find the cube roots of the following by finding the digits in the units and tens places

Find the number of 6-digit numbers that can be found using the digits 1, 2, 3, 4, 5, 6 once such that the 6-digit number is divisible by its unit digit. (The unit digit is not 1).