13404800 has 96 divisors (see below), whose sum is σ = 34149600. Its totient is φ = 5196800.

The previous prime is 13404763. The next prime is 13404829. The reversal of 13404800 is 840431.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 188765 + ... + 188835.

It is an arithmetic number, because the mean of its divisors is an integer number (355725).

Almost surely, 2^13404800 is an apocalyptic number.

13404800 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 13404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17074800).

13404800 is an abundant number, since it is smaller than the sum of its proper divisors (20744800).

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

13404800 is an equidigital number, since it uses as much as digits as its factorization.

13404800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 13404800 is about 3661.2566148797. The cubic root of 13404800 is about 237.5491311099.

The spelling of 13404800 in words is "thirteen million, four hundred four thousand, eight hundred".