12533664 has 144 divisors (see below), whose sum is σ = 39414816. Its totient is φ = 3463680.

The previous prime is 12533663. The next prime is 12533671. The reversal of 12533664 is 46633521.

It is not an unprimeable number, because it can be changed into a prime (12533663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150967 + ... + 151049.

It is an arithmetic number, because the mean of its divisors is an integer number (273714).

Almost surely, 2^12533664 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 12533664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19707408).

12533664 is an abundant number, since it is smaller than the sum of its proper divisors (26881152).

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

12533664 is a wasteful number, since it uses less digits than its factorization.

12533664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 112 counting only the distinct ones).

The product of its digits is 12960, while the sum is 30.

The square root of 12533664 is about 3540.2915134209. The cubic root of 12533664 is about 232.2875941944.

The spelling of 12533664 in words is "twelve million, five hundred thirty-three thousand, six hundred sixty-four".