57156800 has 84 divisors (see below), whose sum is σ = 142204440. Its totient is φ = 22609920.

The previous prime is 57156763. The next prime is 57156821. The reversal of 57156800 is 865175.

57156800 is nontrivially palindromic in base 7.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 222272 + ... + 222528.

It is an arithmetic number, because the mean of its divisors is an integer number (1692910).

Almost surely, 2^57156800 is an apocalyptic number.

57156800 is a gapful number since it is divisible by the number (50) 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 57156800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71102220).

57156800 is an abundant number, since it is smaller than the sum of its proper divisors (85047640).

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

57156800 is a wasteful number, since it uses less digits than its factorization.

57156800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 32.

The square root of 57156800 is about 7560.2116372493. The cubic root of 57156800 is about 385.2026818336.

The spelling of 57156800 in words is "fifty-seven million, one hundred fifty-six thousand, eight hundred".