56772864 has 108 divisors (see below), whose sum is σ = 167961612. Its totient is φ = 18432000.

The previous prime is 56772841. The next prime is 56772869. The reversal of 56772864 is 46827765.

56772864 is a `hidden beast` number, since 567 + 7 + 2 + 86 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23040000 + 33732864 = 4800^2 + 5808^2 .

It is not an unprimeable number, because it can be changed into a prime (56772869) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94164 + ... + 94764.

Almost surely, 2^56772864 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 56772864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83980806).

56772864 is an abundant number, since it is smaller than the sum of its proper divisors (111188748).

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

56772864 is a wasteful number, since it uses less digits than its factorization.

56772864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 647 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 56772864 is about 7534.7769708200. The cubic root of 56772864 is about 384.3382436397.

The spelling of 56772864 in words is "fifty-six million, seven hundred seventy-two thousand, eight hundred sixty-four".