57375864 has 240 divisors, whose sum is σ = 202771800. Its totient is φ = 15023232.

The previous prime is 57375853. The next prime is 57375911. The reversal of 57375864 is 46857375.

57375864 is a `hidden beast` number, since 573 + 75 + 8 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 412707 + ... + 412845.

Almost surely, 2^57375864 is an apocalyptic number.

57375864 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57375864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101385900).

57375864 is an abundant number, since it is smaller than the sum of its proper divisors (145395936).

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

57375864 is a wasteful number, since it uses less digits than its factorization.

57375864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 164 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 57375864 is about 7574.6857360553. The cubic root of 57375864 is about 385.6941746128.

The spelling of 57375864 in words is "fifty-seven million, three hundred seventy-five thousand, eight hundred sixty-four".