13388200 has 96 divisors (see below), whose sum is σ = 36336960. Its totient is φ = 4492800.

The previous prime is 13388189. The next prime is 13388201. The reversal of 13388200 is 288331.

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

It is not an unprimeable number, because it can be changed into a prime (13388201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102135 + ... + 102265.

It is an arithmetic number, because the mean of its divisors is an integer number (378510).

Almost surely, 2^13388200 is an apocalyptic number.

13388200 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 13388200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18168480).

13388200 is an abundant number, since it is smaller than the sum of its proper divisors (22948760).

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

13388200 is a wasteful number, since it uses less digits than its factorization.

13388200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 13388200 is about 3658.9889313853. The cubic root of 13388200 is about 237.4510333029.

The spelling of 13388200 in words is "thirteen million, three hundred eighty-eight thousand, two hundred".