13368400 has 60 divisors (see below), whose sum is σ = 33827200. Its totient is φ = 5063040.

The previous prime is 13368389. The next prime is 13368413. The reversal of 13368400 is 486331.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6721 + ... + 8479.

Almost surely, 2^13368400 is an apocalyptic number.

13368400 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 13368400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16913600).

13368400 is an abundant number, since it is smaller than the sum of its proper divisors (20458800).

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

13368400 is a wasteful number, since it uses less digits than its factorization.

13368400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796 (or 1785 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 13368400 is about 3656.2822648149. The cubic root of 13368400 is about 237.3339189762. Note that the first 3 decimals are identical.

The spelling of 13368400 in words is "thirteen million, three hundred sixty-eight thousand, four hundred".