57346920 has 128 divisors (see below), whose sum is σ = 197856000. Its totient is φ = 14757120.

The previous prime is 57346873. The next prime is 57346937. The reversal of 57346920 is 2964375.

57346920 is a `hidden beast` number, since 573 + 4 + 69 + 20 = 666.

57346920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-5 number, since 5×57346920⁵ (a number of 40 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30405 + ... + 32235.

It is an arithmetic number, because the mean of its divisors is an integer number (1545750).

Almost surely, 2^57346920 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 57346920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98928000).

57346920 is an abundant number, since it is smaller than the sum of its proper divisors (140509080).

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

57346920 is a wasteful number, since it uses less digits than its factorization.

57346920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 57346920 is about 7572.7749207275. The cubic root of 57346920 is about 385.6293075582.

The spelling of 57346920 in words is "fifty-seven million, three hundred forty-six thousand, nine hundred twenty".