57940 has 12 divisors (see below), whose sum is σ = 121716. Its totient is φ = 23168.

The previous prime is 57923. The next prime is 57943. The reversal of 57940 is 4975.

57940 = 55² + 56² + ... + 69².

It can be written as a sum of positive squares in 2 ways, for example, as 12996 + 44944 = 114^2 + 212^2 .

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1429 + ... + 1468.

It is an arithmetic number, because the mean of its divisors is an integer number (10143).

2⁵⁷⁹⁴⁰ is an apocalyptic number.

It is an amenable number.

57940 is an abundant number, since it is smaller than the sum of its proper divisors (63776).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60858).

57940 is a wasteful number, since it uses less digits than its factorization.

57940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906 (or 2904 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 57940 is about 240.7072911235. The cubic root of 57940 is about 38.6954139504.

The spelling of 57940 in words is "fifty-seven thousand, nine hundred forty".