57864 has 16 divisors (see below), whose sum is σ = 144720. Its totient is φ = 19280.

The previous prime is 57859. The next prime is 57881. The reversal of 57864 is 46875.

It is a happy number.

It is a plaindrome in base 15.

It is a nialpdrome in base 9.

It is an unprimeable number.

57864 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 1182 + ... + 1229.

It is an arithmetic number, because the mean of its divisors is an integer number (9045).

2⁵⁷⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

57864 is an abundant number, since it is smaller than the sum of its proper divisors (86856).

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 (72360).

57864 is a wasteful number, since it uses less digits than its factorization.

57864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420 (or 2416 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 57864 is about 240.5493712318. The cubic root of 57864 is about 38.6784876000.

The spelling of 57864 in words is "fifty-seven thousand, eight hundred sixty-four".