12509664 has 48 divisors (see below), whose sum is σ = 33022080. Its totient is φ = 4146560.

The previous prime is 12509641. The next prime is 12509683. The reversal of 12509664 is 46690521.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29647 + ... + 30065.

It is an arithmetic number, because the mean of its divisors is an integer number (687960).

Almost surely, 2^12509664 is an apocalyptic number.

It is an amenable number.

12509664 is an abundant number, since it is smaller than the sum of its proper divisors (20512416).

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

12509664 is a wasteful number, since it uses less digits than its factorization.

12509664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 12509664 is about 3536.9003378665. The cubic root of 12509664 is about 232.1392346935.

The spelling of 12509664 in words is "twelve million, five hundred nine thousand, six hundred sixty-four".