13536800 has 36 divisors (see below), whose sum is σ = 33048666. Its totient is φ = 5414400.

The previous prime is 13536791. The next prime is 13536821. The reversal of 13536800 is 863531.

It can be written as a sum of positive squares in 3 ways, for example, as 11262736 + 2274064 = 3356^2 + 1508^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13536800.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7661 + ... + 9260.

Almost surely, 2^13536800 is an apocalyptic number.

13536800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13536800 is an abundant number, since it is smaller than the sum of its proper divisors (19511866).

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

13536800 is a wasteful number, since it uses less digits than its factorization.

13536800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16941 (or 16928 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 13536800 is about 3679.2390517606. The cubic root of 13536800 is about 238.3263183856.

The spelling of 13536800 in words is "thirteen million, five hundred thirty-six thousand, eight hundred".