12819664 has 60 divisors (see below), whose sum is σ = 29408832. Its totient is φ = 5366400.

The previous prime is 12819659. The next prime is 12819679. The reversal of 12819664 is 46691821.

It is a happy number.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 29529 + ... + 29959.

Almost surely, 2^12819664 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 12819664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14704416).

12819664 is an abundant number, since it is smaller than the sum of its proper divisors (16589168).

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

12819664 is a wasteful number, since it uses less digits than its factorization.

12819664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 457 counting only the distinct ones).

The product of its digits is 20736, while the sum is 37.

The square root of 12819664 is about 3580.4558369012. The cubic root of 12819664 is about 234.0411450283.

The spelling of 12819664 in words is "twelve million, eight hundred nineteen thousand, six hundred sixty-four".