13360800 has 144 divisors (see below), whose sum is σ = 45934560. Its totient is φ = 3363840.

The previous prime is 13360777. The next prime is 13360801. The reversal of 13360800 is 806331.

It is not an unprimeable number, because it can be changed into a prime (13360801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45454 + ... + 45746.

It is an arithmetic number, because the mean of its divisors is an integer number (318990).

Almost surely, 2^13360800 is an apocalyptic number.

13360800 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 13360800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22967280).

13360800 is an abundant number, since it is smaller than the sum of its proper divisors (32573760).

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

13360800 is a wasteful number, since it uses less digits than its factorization.

13360800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 13360800 is about 3655.2428099922. The cubic root of 13360800 is about 237.2889352907.

The spelling of 13360800 in words is "thirteen million, three hundred sixty thousand, eight hundred".