57191904 has 144 divisors (see below), whose sum is σ = 202849920. Its totient is φ = 14849280.

The previous prime is 57191891. The next prime is 57191909. The reversal of 57191904 is 40919175.

57191904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57191909) by changing a digit.

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, 20887 + ... + 23465.

It is an arithmetic number, because the mean of its divisors is an integer number (1408680).

Almost surely, 2^57191904 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 57191904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101424960).

57191904 is an abundant number, since it is smaller than the sum of its proper divisors (145658016).

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

57191904 is a wasteful number, since it uses less digits than its factorization.

57191904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2613 (or 2602 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 57191904 is about 7562.5329090193. The cubic root of 57191904 is about 385.2815256900.

The spelling of 57191904 in words is "fifty-seven million, one hundred ninety-one thousand, nine hundred four".