57537920 has 96 divisors (see below), whose sum is σ = 151396560. Its totient is φ = 20894720.

The previous prime is 57537919. The next prime is 57537929. The reversal of 57537920 is 2973575.

It is a super-2 number, since 2×57537920² = 6621224475852800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57537929) 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, 77069 + ... + 77811.

Almost surely, 2^57537920 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 57537920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75698280).

57537920 is an abundant number, since it is smaller than the sum of its proper divisors (93858640).

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

57537920 is a wasteful number, since it uses less digits than its factorization.

57537920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 38.

The square root of 57537920 is about 7585.3754027075. The cubic root of 57537920 is about 386.0569595667.

The spelling of 57537920 in words is "fifty-seven million, five hundred thirty-seven thousand, nine hundred twenty".