23664 has 40 divisors (see below), whose sum is σ = 66960. Its totient is φ = 7168.

The previous prime is 23663. The next prime is 23669. The reversal of 23664 is 46632.

23664 = T₁₉ + T₂₀ + ... + T₅₂.

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

It is a self number, because there is not a number n which added to its sum of digits gives 23664.

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 23664.

It is not an unprimeable number, because it can be changed into a prime (23663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 802 + ... + 830.

It is an arithmetic number, because the mean of its divisors is an integer number (1674).

2²³⁶⁶⁴ is an apocalyptic number.

23664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33480).

23664 is an abundant number, since it is smaller than the sum of its proper divisors (43296).

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

23664 is a wasteful number, since it uses less digits than its factorization.

23664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 51 counting only the distinct ones).

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

The square root of 23664 is about 153.8310761842. The cubic root of 23664 is about 28.7097483345.

It can be divided in two parts, 236 and 64, that added together give a triangular number (300 = T₂₄).

The spelling of 23664 in words is "twenty-three thousand, six hundred sixty-four".