57564 has 48 divisors (see below), whose sum is σ = 164640. Its totient is φ = 17280.

The previous prime is 57559. The next prime is 57571. The reversal of 57564 is 46575.

57564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×57564² = 6627228192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1384 + ... + 1424.

It is an arithmetic number, because the mean of its divisors is an integer number (3430).

2⁵⁷⁵⁶⁴ is an apocalyptic number.

57564 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82320).

57564 is an abundant number, since it is smaller than the sum of its proper divisors (107076).

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

57564 is a wasteful number, since it uses less digits than its factorization.

57564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 59 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 57564 is about 239.9249882776. The cubic root of 57564 is about 38.6115279626.

It can be divided in two parts, 5 and 7564, that added together give a square (7569 = 87²).

The spelling of 57564 in words is "fifty-seven thousand, five hundred sixty-four".