63536928 has 144 divisors (see below), whose sum is σ = 209139840. Its totient is φ = 16740864.

The previous prime is 63536917. The next prime is 63536933. The reversal of 63536928 is 82963536.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 63536928.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60633 + ... + 61671.

It is an arithmetic number, because the mean of its divisors is an integer number (1452360).

Almost surely, 2^63536928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63536928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104569920).

63536928 is an abundant number, since it is smaller than the sum of its proper divisors (145602912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

63536928 is a wasteful number, since it uses less digits than its factorization.

63536928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1064 counting only the distinct ones).

The product of its digits is 233280, while the sum is 42.

The square root of 63536928 is about 7971.0054572808. The cubic root of 63536928 is about 399.0329304923.

The spelling of 63536928 in words is "sixty-three million, five hundred thirty-six thousand, nine hundred twenty-eight".