12632664 has 64 divisors (see below), whose sum is σ = 34848000. Its totient is φ = 3784320.

The previous prime is 12632657. The next prime is 12632671. The reversal of 12632664 is 46623621.

It is an interprime number because it is at equal distance from previous prime (12632657) and next prime (12632671).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28557 + ... + 28995.

It is an arithmetic number, because the mean of its divisors is an integer number (544500).

Almost surely, 2^12632664 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 12632664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17424000).

12632664 is an abundant number, since it is smaller than the sum of its proper divisors (22215336).

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

12632664 is a wasteful number, since it uses less digits than its factorization.

12632664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 564 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 12632664 is about 3554.2459115824. The cubic root of 12632664 is about 232.8975831145.

The spelling of 12632664 in words is "twelve million, six hundred thirty-two thousand, six hundred sixty-four".