57920 has 28 divisors (see below), whose sum is σ = 138684. Its totient is φ = 23040.

The previous prime is 57917. The next prime is 57923. The reversal of 57920 is 2975.

It is an interprime number because it is at equal distance from previous prime (57917) and next prime (57923).

It can be written as a sum of positive squares in 2 ways, for example, as 7744 + 50176 = 88^2 + 224^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 230 + ... + 410.

It is an arithmetic number, because the mean of its divisors is an integer number (4953).

2⁵⁷⁹²⁰ 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 57920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69342).

57920 is an abundant number, since it is smaller than the sum of its proper divisors (80764).

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

57920 is a wasteful number, since it uses less digits than its factorization.

57920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 57920 is about 240.6657433039. The cubic root of 57920 is about 38.6909610834.

Subtracting from 57920 its reverse (2975), we obtain a palindrome (54945).

The spelling of 57920 in words is "fifty-seven thousand, nine hundred twenty".