12805664 has 48 divisors (see below), whose sum is σ = 26707968. Its totient is φ = 6031872.

The previous prime is 12805627. The next prime is 12805673. The reversal of 12805664 is 46650821.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 12805664.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93404 + ... + 93540.

It is an arithmetic number, because the mean of its divisors is an integer number (556416).

Almost surely, 2^12805664 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 12805664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13353984).

12805664 is an abundant number, since it is smaller than the sum of its proper divisors (13902304).

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

12805664 is a wasteful number, since it uses less digits than its factorization.

12805664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 12805664 is about 3578.5002445159. The cubic root of 12805664 is about 233.9559173783.

The spelling of 12805664 in words is "twelve million, eight hundred five thousand, six hundred sixty-four".