13324800 has 120 divisors (see below), whose sum is σ = 44144496. Its totient is φ = 3543040.

The previous prime is 13324789. The next prime is 13324819. The reversal of 13324800 is 842331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a nialpdrome in base 16.

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, 38227 + ... + 38573.

Almost surely, 2^13324800 is an apocalyptic number.

13324800 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 13324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22072248).

13324800 is an abundant number, since it is smaller than the sum of its proper divisors (30819696).

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

13324800 is an equidigital number, since it uses as much as digits as its factorization.

13324800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 13324800 is about 3650.3150548959. The cubic root of 13324800 is about 237.0756225766.

The spelling of 13324800 in words is "thirteen million, three hundred twenty-four thousand, eight hundred".