12635664 has 40 divisors (see below), whose sum is σ = 33137760. Its totient is φ = 4147968.

The previous prime is 12635653. The next prime is 12635669. The reversal of 12635664 is 46653621.

It is not an unprimeable number, because it can be changed into a prime (12635669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1252 + ... + 5180.

It is an arithmetic number, because the mean of its divisors is an integer number (828444).

Almost surely, 2^12635664 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 12635664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16568880).

12635664 is an abundant number, since it is smaller than the sum of its proper divisors (20502096).

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

12635664 is a wasteful number, since it uses less digits than its factorization.

12635664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4007 (or 4001 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 12635664 is about 3554.6679169790. The cubic root of 12635664 is about 232.9160177970.

The spelling of 12635664 in words is "twelve million, six hundred thirty-five thousand, six hundred sixty-four".