12579984 has 60 divisors (see below), whose sum is σ = 35464000. Its totient is φ = 4162752.

The previous prime is 12579971. The next prime is 12579991. The reversal of 12579984 is 48997521.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28437 + ... + 28875.

Almost surely, 2^12579984 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 12579984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17732000).

12579984 is an abundant number, since it is smaller than the sum of its proper divisors (22884016).

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

12579984 is a wasteful number, since it uses less digits than its factorization.

12579984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 643 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 12579984 is about 3546.8273146574. The cubic root of 12579984 is about 232.5733934094.

The spelling of 12579984 in words is "twelve million, five hundred seventy-nine thousand, nine hundred eighty-four".