13387200 has 84 divisors (see below), whose sum is σ = 43936920. Its totient is φ = 3568640.

The previous prime is 13387193. The next prime is 13387201. The reversal of 13387200 is 278331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13387201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3406 + ... + 6194.

Almost surely, 2^13387200 is an apocalyptic number.

13387200 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 13387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21968460).

13387200 is an abundant number, since it is smaller than the sum of its proper divisors (30549720).

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

13387200 is a wasteful number, since it uses less digits than its factorization.

13387200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2814 (or 2799 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 13387200 is about 3658.8522790624. The cubic root of 13387200 is about 237.4451212076.

The spelling of 13387200 in words is "thirteen million, three hundred eighty-seven thousand, two hundred".