57130920 has 320 divisors, whose sum is σ = 240451200. Its totient is φ = 11819520.

The previous prime is 57130903. The next prime is 57130943. The reversal of 57130920 is 2903175.

57130920 is a `hidden beast` number, since 571 + 3 + 0 + 92 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 249366 + ... + 249594.

It is an arithmetic number, because the mean of its divisors is an integer number (751410).

Almost surely, 2^57130920 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 57130920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120225600).

57130920 is an abundant number, since it is smaller than the sum of its proper divisors (183320280).

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

57130920 is a wasteful number, since it uses less digits than its factorization.

57130920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 57130920 is about 7558.4998511609. The cubic root of 57130920 is about 385.1445344775.

The spelling of 57130920 in words is "fifty-seven million, one hundred thirty thousand, nine hundred twenty".