32664 has 16 divisors (see below), whose sum is σ = 81720. Its totient is φ = 10880.

The previous prime is 32653. The next prime is 32687. The reversal of 32664 is 46623.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 8.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 32664.

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 32664.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 657 + ... + 704.

2³²⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

32664 is an abundant number, since it is smaller than the sum of its proper divisors (49056).

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 (40860).

32664 is a wasteful number, since it uses less digits than its factorization.

32664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 1366 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 32664 is about 180.7318455613. The cubic root of 32664 is about 31.9661099543.

It can be divided in two parts, 32 and 664, that added together give a palindrome (696).

The spelling of 32664 in words is "thirty-two thousand, six hundred sixty-four".