13408800 has 144 divisors (see below), whose sum is σ = 45122112. Its totient is φ = 3456000.

The previous prime is 13408799. The next prime is 13408831. The reversal of 13408800 is 880431.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88725 + ... + 88875.

It is an arithmetic number, because the mean of its divisors is an integer number (313348).

Almost surely, 2^13408800 is an apocalyptic number.

13408800 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 13408800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22561056).

13408800 is an abundant number, since it is smaller than the sum of its proper divisors (31713312).

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

13408800 is a wasteful number, since it uses less digits than its factorization.

13408800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 13408800 is about 3661.8028346704. The cubic root of 13408800 is about 237.5727570257.

The spelling of 13408800 in words is "thirteen million, four hundred eight thousand, eight hundred".