57355920 has 120 divisors (see below), whose sum is σ = 197918136. Its totient is φ = 14874624.

The previous prime is 57355913. The next prime is 57355931. The reversal of 57355920 is 2955375.

57355920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4822416 + 52533504 = 2196^2 + 7248^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×57355920³ (a number of 24 digits) contains 333 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 23 ways as a sum of consecutive naturals, for example, 25564 + ... + 27716.

Almost surely, 2^57355920 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 57355920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98959068).

57355920 is an abundant number, since it is smaller than the sum of its proper divisors (140562216).

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

57355920 is a wasteful number, since it uses less digits than its factorization.

57355920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2209 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 47250, while the sum is 36.

The square root of 57355920 is about 7573.3691313708. The cubic root of 57355920 is about 385.6494800000.

The spelling of 57355920 in words is "fifty-seven million, three hundred fifty-five thousand, nine hundred twenty".