57696 has 24 divisors (see below), whose sum is σ = 151704. Its totient is φ = 19200.

The previous prime is 57689. The next prime is 57697. The reversal of 57696 is 69675.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 57696.

It is not an unprimeable number, because it can be changed into a prime (57697) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 205 + ... + 396.

It is an arithmetic number, because the mean of its divisors is an integer number (6321).

2⁵⁷⁶⁹⁶ is an apocalyptic number.

It is an amenable number.

57696 is an abundant number, since it is smaller than the sum of its proper divisors (94008).

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 (75852).

57696 is a wasteful number, since it uses less digits than its factorization.

57696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 606 counting only the distinct ones).

The product of its digits is 11340, while the sum is 33.

The square root of 57696 is about 240.1999167360. The cubic root of 57696 is about 38.6410187953.

It can be divided in two parts, 5769 and 6, that added together give a palindrome (5775).

The spelling of 57696 in words is "fifty-seven thousand, six hundred ninety-six".