57200364 has 96 divisors (see below), whose sum is σ = 161441280. Its totient is φ = 17409600.

The previous prime is 57200357. The next prime is 57200387. The reversal of 57200364 is 46300275.

It is a happy number.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 183769 + ... + 184079.

It is an arithmetic number, because the mean of its divisors is an integer number (1681680).

Almost surely, 2^57200364 is an apocalyptic number.

57200364 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

57200364 is the 4043-rd nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57200364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80720640).

57200364 is an abundant number, since it is smaller than the sum of its proper divisors (104240916).

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

57200364 is a wasteful number, since it uses less digits than its factorization.

57200364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 57200364 is about 7563.0922247451. The cubic root of 57200364 is about 385.3005220908.

The spelling of 57200364 in words is "fifty-seven million, two hundred thousand, three hundred sixty-four".