11664 has 35 divisors (see below), whose sum is σ = 33883. Its totient is φ = 3888.

The previous prime is 11657. The next prime is 11677. The reversal of 11664 is 46611.

11664 = T₁₀₇ + T₁₀₈.

The square root of 11664 is 108.

It is a perfect power (a square), and thus also a powerful number.

11664 is a `hidden beast` number, since 1 + 1 + 664 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a Duffinian number.

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is an unprimeable number.

11664 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 3887 + 3888 + 3889.

11664 is a Friedman number, since it can be written as 6^6/(4+1-1), using all its digits and the basic arithmetic operations.

2¹¹⁶⁶⁴ is an apocalyptic number.

11664 is the 108-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11664

11664 is an abundant number, since it is smaller than the sum of its proper divisors (22219).

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

11664 is an frugal number, since it uses more digits than its factorization.

11664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26 (or 5 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The cubic root of 11664 is about 22.6785788981.

Multiplying 11664 by its product of digits (144), we get a 8-th power (1679616 = 6⁸).

11664 divided by its product of digits (144) gives a 4-th power (81 = 3⁴).

It can be divided in two parts, 1166 and 4, that multiplied together give a palindrome (4664).

The spelling of 11664 in words is "eleven thousand, six hundred sixty-four".