13856800 has 36 divisors (see below), whose sum is σ = 33829866. Its totient is φ = 5542400.

The previous prime is 13856789. The next prime is 13856831. The reversal of 13856800 is 865831.

It can be written as a sum of positive squares in 3 ways, for example, as 8785296 + 5071504 = 2964^2 + 2252^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7861 + ... + 9460.

Almost surely, 2^13856800 is an apocalyptic number.

13856800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13856800 is an abundant number, since it is smaller than the sum of its proper divisors (19973066).

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

13856800 is a wasteful number, since it uses less digits than its factorization.

13856800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17341 (or 17328 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 13856800 is about 3722.4722967404. The cubic root of 13856800 is about 240.1896648888.

The spelling of 13856800 in words is "thirteen million, eight hundred fifty-six thousand, eight hundred".