13504800 has 144 divisors (see below), whose sum is σ = 46684512. Its totient is φ = 3379200.

The previous prime is 13504793. The next prime is 13504819. The reversal of 13504800 is 840531.

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, 40635 + ... + 40965.

It is an arithmetic number, because the mean of its divisors is an integer number (324198).

Almost surely, 2^13504800 is an apocalyptic number.

13504800 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 13504800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23342256).

13504800 is an abundant number, since it is smaller than the sum of its proper divisors (33179712).

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

13504800 is a wasteful number, since it uses less digits than its factorization.

13504800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 13504800 is about 3674.8877533879. The cubic root of 13504800 is about 238.1383749144.

The spelling of 13504800 in words is "thirteen million, five hundred four thousand, eight hundred".