57201920 has 144 divisors (see below), whose sum is σ = 150111360. Its totient is φ = 20815872.

The previous prime is 57201899. The next prime is 57201979. The reversal of 57201920 is 2910275.

It is a self number, because there is not a number n which added to its sum of digits gives 57201920.

It is a congruent number.

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, 853727 + ... + 853793.

It is an arithmetic number, because the mean of its divisors is an integer number (1042440).

Almost surely, 2^57201920 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 57201920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75055680).

57201920 is an abundant number, since it is smaller than the sum of its proper divisors (92909440).

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

57201920 is a wasteful number, since it uses less digits than its factorization.

57201920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 57201920 is about 7563.1950920229. The cubic root of 57201920 is about 385.3040157876.

The spelling of 57201920 in words is "fifty-seven million, two hundred one thousand, nine hundred twenty".