57395376 has 60 divisors (see below), whose sum is σ = 161474040. Its totient is φ = 19031040.

The previous prime is 57395369. The next prime is 57395389. The reversal of 57395376 is 67359375.

57395376 is a `hidden beast` number, since 573 + 9 + 5 + 3 + 76 = 666.

57395376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 29440 + ... + 31328.

It is an arithmetic number, because the mean of its divisors is an integer number (2691234).

Almost surely, 2^57395376 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 57395376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80737020).

57395376 is an abundant number, since it is smaller than the sum of its proper divisors (104078664).

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

57395376 is a wasteful number, since it uses less digits than its factorization.

57395376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114 (or 2105 counting only the distinct ones).

The product of its digits is 595350, while the sum is 45.

The square root of 57395376 is about 7575.9736007988. The cubic root of 57395376 is about 385.7378910891.

The spelling of 57395376 in words is "fifty-seven million, three hundred ninety-five thousand, three hundred seventy-six".