56638305 has 128 divisors (see below), whose sum is σ = 118195200. Its totient is φ = 25546752.

The previous prime is 56638301. The next prime is 56638331. The reversal of 56638305 is 50383665.

It is not a de Polignac number, because 56638305 - 2² = 56638301 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 56638305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56638301) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1530747 + ... + 1530783.

It is an arithmetic number, because the mean of its divisors is an integer number (923400).

Almost surely, 2^56638305 is an apocalyptic number.

It is an amenable number.

56638305 is an abundant number, since it is smaller than the sum of its proper divisors (61556895).

56638305 is a wasteful number, since it uses less digits than its factorization.

56638305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 56638305 is about 7525.8424777562. The cubic root of 56638305 is about 384.0343597184.

The spelling of 56638305 in words is "fifty-six million, six hundred thirty-eight thousand, three hundred five".