57082590 has 64 divisors (see below), whose sum is σ = 155131200. Its totient is φ = 14931072.

The previous prime is 57082589. The next prime is 57082603. The reversal of 57082590 is 9528075.

57082590 is a `hidden beast` number, since 570 + 82 + 5 + 9 + 0 = 666.

It is a super-2 number, since 2×57082590² = 6516844162216200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12316 + ... + 16304.

It is an arithmetic number, because the mean of its divisors is an integer number (2423925).

Almost surely, 2^57082590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57082590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77565600).

57082590 is an abundant number, since it is smaller than the sum of its proper divisors (98048610).

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

57082590 is a wasteful number, since it uses less digits than its factorization.

57082590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4058 (or 4052 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 57082590 is about 7555.3021117623. The cubic root of 57082590 is about 385.0358992780.

The spelling of 57082590 in words is "fifty-seven million, eighty-two thousand, five hundred ninety".