13668800 has 42 divisors (see below), whose sum is σ = 33637728. Its totient is φ = 5466880.

The previous prime is 13668793. The next prime is 13668827. The reversal of 13668800 is 886631.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 2672 + ... + 5871.

Almost surely, 2^13668800 is an apocalyptic number.

13668800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13668800 is an abundant number, since it is smaller than the sum of its proper divisors (19968928).

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

13668800 is an equidigital number, since it uses as much as digits as its factorization.

13668800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8565 (or 8550 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 13668800 is about 3697.1340251606. The cubic root of 13668800 is about 239.0984696044.

The spelling of 13668800 in words is "thirteen million, six hundred sixty-eight thousand, eight hundred".