57841920 has 108 divisors (see below), whose sum is σ = 200166876. Its totient is φ = 15421440.

The previous prime is 57841891. The next prime is 57841933. The reversal of 57841920 is 2914875.

It can be written as a sum of positive squares in 2 ways, for example, as 38340864 + 19501056 = 6192^2 + 4416^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9010 + ... + 14030.

It is an arithmetic number, because the mean of its divisors is an integer number (1853397).

Almost surely, 2^57841920 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 57841920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100083438).

57841920 is an abundant number, since it is smaller than the sum of its proper divisors (142324956).

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

57841920 is a wasteful number, since it uses less digits than its factorization.

57841920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5048 (or 5031 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 57841920 is about 7605.3875640890. The cubic root of 57841920 is about 386.7356727152.

The spelling of 57841920 in words is "fifty-seven million, eight hundred forty-one thousand, nine hundred twenty".