57256680 has 192 divisors, whose sum is σ = 198051840. Its totient is φ = 13160448.

The previous prime is 57256679. The next prime is 57256681. The reversal of 57256680 is 8665275.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (57256679) and next prime (57256681).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (57256681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 450777 + ... + 450903.

It is an arithmetic number, because the mean of its divisors is an integer number (1031520).

Almost surely, 2^57256680 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 57256680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99025920).

57256680 is an abundant number, since it is smaller than the sum of its proper divisors (140795160).

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

57256680 is a wasteful number, since it uses less digits than its factorization.

57256680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 57256680 is about 7566.8143891601. The cubic root of 57256680 is about 385.4269284371.

The spelling of 57256680 in words is "fifty-seven million, two hundred fifty-six thousand, six hundred eighty".