14664 has 32 divisors (see below), whose sum is σ = 40320. Its totient is φ = 4416.

The previous prime is 14657. The next prime is 14669. The reversal of 14664 is 46641.

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 14664.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 14664.

It is not an unprimeable number, because it can be changed into a prime (14669) by changing a digit.

14664 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 7 ways as a sum of consecutive naturals, for example, 289 + ... + 335.

It is an arithmetic number, because the mean of its divisors is an integer number (1260).

2¹⁴⁶⁶⁴ 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 14664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20160).

14664 is an abundant number, since it is smaller than the sum of its proper divisors (25656).

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

14664 is a wasteful number, since it uses less digits than its factorization.

14664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 65 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 14664 is about 121.0950040258. The cubic root of 14664 is about 24.4765845976.

It can be divided in two parts, 146 and 64, that added together give a triangular number (210 = T₂₀).

The spelling of 14664 in words is "fourteen thousand, six hundred sixty-four".