57636 has 18 divisors (see below), whose sum is σ = 145782. Its totient is φ = 19200.

The previous prime is 57601. The next prime is 57637. The reversal of 57636 is 63675.

It can be written as a sum of positive squares in only one way, i.e., 57600 + 36 = 240^2 + 6^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is not an unprimeable number, because it can be changed into a prime (57637) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 765 + ... + 836.

It is an arithmetic number, because the mean of its divisors is an integer number (8099).

2⁵⁷⁶³⁶ is an apocalyptic number.

It is an amenable number.

57636 is an abundant number, since it is smaller than the sum of its proper divisors (88146).

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

57636 is a wasteful number, since it uses less digits than its factorization.

57636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1611 (or 1606 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 57636 is about 240.0749882849. The cubic root of 57636 is about 38.6276194535.

Adding to 57636 its product of digits (3780), we get a palindrome (61416).

It can be divided in two parts, 576 and 36, that multiplied together give a 4-th power (20736 = 12⁴).

The spelling of 57636 in words is "fifty-seven thousand, six hundred thirty-six".