13248800 has 36 divisors (see below), whose sum is σ = 32345586. Its totient is φ = 5299200.

The previous prime is 13248799. The next prime is 13248817. The reversal of 13248800 is 884231.

It can be written as a sum of positive squares in 3 ways, for example, as 6130576 + 7118224 = 2476^2 + 2668^2 .

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 13248800.

It is a congruent number.

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, 7481 + ... + 9080.

Almost surely, 2^13248800 is an apocalyptic number.

13248800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13248800 is an abundant number, since it is smaller than the sum of its proper divisors (19096786).

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

13248800 is a wasteful number, since it uses less digits than its factorization.

13248800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16581 (or 16568 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 13248800 is about 3639.8901082313. The cubic root of 13248800 is about 236.6240307599.

The spelling of 13248800 in words is "thirteen million, two hundred forty-eight thousand, eight hundred".