57259920 has 160 divisors (see below), whose sum is σ = 193737600. Its totient is φ = 13934592.

The previous prime is 57259919. The next prime is 57259921. The reversal of 57259920 is 2995275.

It is an interprime number because it is at equal distance from previous prime (57259919) and next prime (57259921).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57259921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132024 + ... + 132456.

It is an arithmetic number, because the mean of its divisors is an integer number (1210860).

Almost surely, 2^57259920 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 57259920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96868800).

57259920 is an abundant number, since it is smaller than the sum of its proper divisors (136477680).

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

57259920 is a wasteful number, since it uses less digits than its factorization.

57259920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 39.

The square root of 57259920 is about 7567.0284788680. The cubic root of 57259920 is about 385.4341983876.

The spelling of 57259920 in words is "fifty-seven million, two hundred fifty-nine thousand, nine hundred twenty".