13684800 has 84 divisors (see below), whose sum is σ = 44913296. Its totient is φ = 3648000.

The previous prime is 13684787. The next prime is 13684823. The reversal of 13684800 is 848631.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3375 + ... + 6225.

Almost surely, 2^13684800 is an apocalyptic number.

13684800 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 13684800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22456648).

13684800 is an abundant number, since it is smaller than the sum of its proper divisors (31228496).

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

13684800 is a wasteful number, since it uses less digits than its factorization.

13684800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2876 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 13684800 is about 3699.2972305561. The cubic root of 13684800 is about 239.1917253842.

The spelling of 13684800 in words is "thirteen million, six hundred eighty-four thousand, eight hundred".