59664 has 40 divisors (see below), whose sum is σ = 169632. Its totient is φ = 17920.

The previous prime is 59663. The next prime is 59669. The reversal of 59664 is 46695.

Its product of digits (6480) is a multiple of the sum of its prime factors (135).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (59663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 472 + ... + 584.

2⁵⁹⁶⁶⁴ 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 59664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84816).

59664 is an abundant number, since it is smaller than the sum of its proper divisors (109968).

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

59664 is a wasteful number, since it uses less digits than its factorization.

59664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 129 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 59664 is about 244.2621542524. The cubic root of 59664 is about 39.0754620450.

It can be divided in two parts, 5 and 9664, that added together give a palindrome (9669).

The spelling of 59664 in words is "fifty-nine thousand, six hundred sixty-four".