13980800 has 96 divisors (see below), whose sum is σ = 36710820. Its totient is φ = 5242880.

The previous prime is 13980793. The next prime is 13980821. The reversal of 13980800 is 808931.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 11343424 + 2637376 = 3368^2 + 1624^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

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, 54272 + ... + 54528.

Almost surely, 2^13980800 is an apocalyptic number.

13980800 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 13980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18355410).

13980800 is an abundant number, since it is smaller than the sum of its proper divisors (22730020).

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

13980800 is a wasteful number, since it uses less digits than its factorization.

13980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 13980800 is about 3739.0907985766. The cubic root of 13980800 is about 240.9039980800.

The spelling of 13980800 in words is "thirteen million, nine hundred eighty thousand, eight hundred".