13296800 has 72 divisors (see below), whose sum is σ = 35435232. Its totient is φ = 4832000.

The previous prime is 13296797. The next prime is 13296851. The reversal of 13296800 is 869231.

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, 8045 + ... + 9555.

It is an arithmetic number, because the mean of its divisors is an integer number (492156).

Almost surely, 2^13296800 is an apocalyptic number.

13296800 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 13296800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17717616).

13296800 is an abundant number, since it is smaller than the sum of its proper divisors (22138432).

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

13296800 is a wasteful number, since it uses less digits than its factorization.

13296800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 13296800 is about 3646.4777525717. The cubic root of 13296800 is about 236.9094469111.

The spelling of 13296800 in words is "thirteen million, two hundred ninety-six thousand, eight hundred".