12896800 has 144 divisors (see below), whose sum is σ = 37497600. Its totient is φ = 4327680.

The previous prime is 12896797. The next prime is 12896809. The reversal of 12896800 is 869821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12896809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274377 + ... + 274423.

It is an arithmetic number, because the mean of its divisors is an integer number (260400).

Almost surely, 2^12896800 is an apocalyptic number.

12896800 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 12896800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18748800).

12896800 is an abundant number, since it is smaller than the sum of its proper divisors (24600800).

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

12896800 is an equidigital number, since it uses as much as digits as its factorization.

12896800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 12896800 is about 3591.2114947466. The cubic root of 12896800 is about 234.5096157043.

It can be divided in two parts, 128 and 96800, that multiplied together give a square (12390400 = 3520²).

The spelling of 12896800 in words is "twelve million, eight hundred ninety-six thousand, eight hundred".