13682800 has 60 divisors (see below), whose sum is σ = 33365920. Its totient is φ = 5391360.

The previous prime is 13682797. The next prime is 13682813. The reversal of 13682800 is 828631.

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, 31384 + ... + 31816.

Almost surely, 2^13682800 is an apocalyptic number.

13682800 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 13682800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16682960).

13682800 is an abundant number, since it is smaller than the sum of its proper divisors (19683120).

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

13682800 is a wasteful number, since it uses less digits than its factorization.

13682800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 13682800 is about 3699.0268990641. The cubic root of 13682800 is about 239.1800723883.

The spelling of 13682800 in words is "thirteen million, six hundred eighty-two thousand, eight hundred".