12868800 has 168 divisors, whose sum is σ = 48377856. Its totient is φ = 2933760.

The previous prime is 12868787. The next prime is 12868811. The reversal of 12868800 is 886821.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33409 + ... + 33791.

Almost surely, 2^12868800 is an apocalyptic number.

12868800 is a gapful number since it is divisible by the number (10) 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 12868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24188928).

12868800 is an abundant number, since it is smaller than the sum of its proper divisors (35509056).

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

12868800 is a wasteful number, since it uses less digits than its factorization.

12868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 12868800 is about 3587.3109706297. The cubic root of 12868800 is about 234.3397795965.

The spelling of 12868800 in words is "twelve million, eight hundred sixty-eight thousand, eight hundred".