57983904 has 96 divisors (see below), whose sum is σ = 184524480. Its totient is φ = 17568000.

The previous prime is 57983899. The next prime is 57983911. The reversal of 57983904 is 40938975.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 57983904.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6454 + ... + 12554.

It is an arithmetic number, because the mean of its divisors is an integer number (1922130).

Almost surely, 2^57983904 is an apocalyptic number.

57983904 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57983904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92262240).

57983904 is an abundant number, since it is smaller than the sum of its proper divisors (126540576).

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

57983904 is a wasteful number, since it uses less digits than its factorization.

57983904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6131 (or 6117 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 57983904 is about 7614.7162783652. The cubic root of 57983904 is about 387.0518529163.

The spelling of 57983904 in words is "fifty-seven million, nine hundred eighty-three thousand, nine hundred four".