8664 has 24 divisors (see below), whose sum is σ = 22860. Its totient is φ = 2736.

The previous prime is 8663. The next prime is 8669. The reversal of 8664 is 4668.

8664 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

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

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

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

Its product of digits (1152) is a multiple of the sum of its prime divisors (24).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8663) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 447 + ... + 465.

2⁸⁶⁶⁴ 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 8664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11430).

8664 is an abundant number, since it is smaller than the sum of its proper divisors (14196).

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

8664 is a wasteful number, since it uses less digits than its factorization.

8664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 24 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 8664 is about 93.0806102258. The cubic root of 8664 is about 20.5386935276.

Multiplying 8664 by its sum of digits (24), we get a square (207936 = 456²).

8664 divided by its sum of digits (24) gives a square (361 = 19²).

The spelling of 8664 in words is "eight thousand, six hundred sixty-four".