57001920 has 56 divisors (see below), whose sum is σ = 180984144. Its totient is φ = 15200256.

The previous prime is 57001913. The next prime is 57001927. The reversal of 57001920 is 2910075.

57001920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57001913) and next prime (57001927).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57001927) 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 7 ways as a sum of consecutive naturals, for example, 28729 + ... + 30648.

Almost surely, 2^57001920 is an apocalyptic number.

It is an amenable number.

57001920 is an abundant number, since it is smaller than the sum of its proper divisors (123982224).

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

57001920 is a wasteful number, since it uses less digits than its factorization.

57001920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59397 (or 59387 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 57001920 is about 7549.9615893063. The cubic root of 57001920 is about 384.8544342032.

Adding to 57001920 its reverse (2910075), we get a palindrome (59911995).

The spelling of 57001920 in words is "fifty-seven million, one thousand, nine hundred twenty".