12838672 has 80 divisors (see below), whose sum is σ = 32890752. Its totient is φ = 4700160.

The previous prime is 12838649. The next prime is 12838691. The reversal of 12838672 is 27683821.

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 15 ways as a sum of consecutive naturals, for example, 20638 + ... + 21250.

Almost surely, 2^12838672 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 12838672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16445376).

12838672 is an abundant number, since it is smaller than the sum of its proper divisors (20052080).

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

12838672 is a wasteful number, since it uses less digits than its factorization.

12838672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 650 counting only the distinct ones).

The product of its digits is 32256, while the sum is 37.

The square root of 12838672 is about 3583.1092643122. The cubic root of 12838672 is about 234.1567605698.

The spelling of 12838672 in words is "twelve million, eight hundred thirty-eight thousand, six hundred seventy-two".