56821968 has 90 divisors (see below), whose sum is σ = 185008434. Its totient is φ = 16232832.

The previous prime is 56821931. The next prime is 56821981. The reversal of 56821968 is 86912865.

56821968 is a `hidden beast` number, since 568 + 21 + 9 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 53406864 + 3415104 = 7308^2 + 1848^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3030 + ... + 11082.

Almost surely, 2^56821968 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 56821968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92504217).

56821968 is an abundant number, since it is smaller than the sum of its proper divisors (128186466).

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

56821968 is a wasteful number, since it uses less digits than its factorization.

56821968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8081 (or 8065 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 56821968 is about 7538.0347571499. The cubic root of 56821968 is about 384.4490190191.

The spelling of 56821968 in words is "fifty-six million, eight hundred twenty-one thousand, nine hundred sixty-eight".