13290800 has 60 divisors (see below), whose sum is σ = 32289600. Its totient is φ = 5256960.

The previous prime is 13290799. The next prime is 13290829. The reversal of 13290800 is 809231.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59489 + ... + 59711.

It is an arithmetic number, because the mean of its divisors is an integer number (538160).

Almost surely, 2^13290800 is an apocalyptic number.

13290800 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 13290800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16144800).

13290800 is an abundant number, since it is smaller than the sum of its proper divisors (18998800).

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

13290800 is a wasteful number, since it uses less digits than its factorization.

13290800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 13290800 is about 3645.6549480169. The cubic root of 13290800 is about 236.8738074956.

The spelling of 13290800 in words is "thirteen million, two hundred ninety thousand, eight hundred".