53664 has 48 divisors (see below), whose sum is σ = 155232. Its totient is φ = 16128.

The previous prime is 53657. The next prime is 53681. The reversal of 53664 is 46635.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 53664.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1227 + ... + 1269.

It is an arithmetic number, because the mean of its divisors is an integer number (3234).

2⁵³⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77616).

53664 is an abundant number, since it is smaller than the sum of its proper divisors (101568).

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

53664 is a wasteful number, since it uses less digits than its factorization.

53664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 61 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 53664 is about 231.6549157691. The cubic root of 53664 is about 37.7190732477.

It can be divided in two parts, 53 and 664, that added together give a palindrome (717).

The spelling of 53664 in words is "fifty-three thousand, six hundred sixty-four".