12966304 has 48 divisors (see below), whose sum is σ = 27941760. Its totient is φ = 5886720.

The previous prime is 12966299. The next prime is 12966311. The reversal of 12966304 is 40366921.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29317 + ... + 29755.

It is an arithmetic number, because the mean of its divisors is an integer number (582120).

Almost surely, 2^12966304 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 12966304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13970880).

12966304 is an abundant number, since it is smaller than the sum of its proper divisors (14975456).

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

12966304 is a wasteful number, since it uses less digits than its factorization.

12966304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 12966304 is about 3600.8754491096. The cubic root of 12966304 is about 234.9301376757.

The spelling of 12966304 in words is "twelve million, nine hundred sixty-six thousand, three hundred four".