57564672 has 80 divisors (see below), whose sum is σ = 167346432. Its totient is φ = 17438720.

The previous prime is 57564667. The next prime is 57564677. The reversal of 57564672 is 27646575.

It is an interprime number because it is at equal distance from previous prime (57564667) and next prime (57564677).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57564677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15193 + ... + 18599.

Almost surely, 2^57564672 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 57564672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83673216).

57564672 is an abundant number, since it is smaller than the sum of its proper divisors (109781760).

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

57564672 is a wasteful number, since it uses less digits than its factorization.

57564672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3439 (or 3423 counting only the distinct ones).

The product of its digits is 352800, while the sum is 42.

The square root of 57564672 is about 7587.1385910632. The cubic root of 57564672 is about 386.1167821184.

The spelling of 57564672 in words is "fifty-seven million, five hundred sixty-four thousand, six hundred seventy-two".