56057624 has 64 divisors (see below), whose sum is σ = 127319040. Its totient is φ = 22619520.

The previous prime is 56057593. The next prime is 56057633. The reversal of 56057624 is 42675065.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91142 + ... + 91754.

It is an arithmetic number, because the mean of its divisors is an integer number (1989360).

Almost surely, 2^56057624 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 56057624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63659520).

56057624 is an abundant number, since it is smaller than the sum of its proper divisors (71261416).

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

56057624 is a wasteful number, since it uses less digits than its factorization.

56057624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 35.

The square root of 56057624 is about 7487.1639490531. The cubic root of 56057624 is about 382.7174186484.

The spelling of 56057624 in words is "fifty-six million, fifty-seven thousand, six hundred twenty-four".