12897600 has 84 divisors (see below), whose sum is σ = 42330624. Its totient is φ = 3438080.

The previous prime is 12897593. The next prime is 12897623. The reversal of 12897600 is 679821.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 3457 + ... + 6143.

It is an arithmetic number, because the mean of its divisors is an integer number (503936).

Almost surely, 2^12897600 is an apocalyptic number.

12897600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12897600 is the 1920-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21165312).

12897600 is an abundant number, since it is smaller than the sum of its proper divisors (29433024).

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

12897600 is a wasteful number, since it uses less digits than its factorization.

12897600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2712 (or 2697 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 12897600 is about 3591.3228760444. The cubic root of 12897600 is about 234.5144645509.

The spelling of 12897600 in words is "twelve million, eight hundred ninety-seven thousand, six hundred".