12964992 has 64 divisors (see below), whose sum is σ = 36271200. Its totient is φ = 4091904.

The previous prime is 12964967. The next prime is 12965027. The reversal of 12964992 is 29946921.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6408 + ... + 8184.

Almost surely, 2^12964992 is an apocalyptic number.

12964992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12964992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18135600).

12964992 is an abundant number, since it is smaller than the sum of its proper divisors (23306208).

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

12964992 is a wasteful number, since it uses less digits than its factorization.

12964992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813 (or 1801 counting only the distinct ones).

The product of its digits is 69984, while the sum is 42.

The square root of 12964992 is about 3600.6932665808. The cubic root of 12964992 is about 234.9222135790.

The spelling of 12964992 in words is "twelve million, nine hundred sixty-four thousand, nine hundred ninety-two".