13818200 has 72 divisors (see below), whose sum is σ = 35375340. Its totient is φ = 5016000.

The previous prime is 13818199. The next prime is 13818223. The reversal of 13818200 is 281831.

13818200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 23915 + ... + 24485.

Almost surely, 2^13818200 is an apocalyptic number.

13818200 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 13818200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17687670).

13818200 is an abundant number, since it is smaller than the sum of its proper divisors (21557140).

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

13818200 is a wasteful number, since it uses less digits than its factorization.

13818200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 13818200 is about 3717.2839547175. The cubic root of 13818200 is about 239.9664304899.

The spelling of 13818200 in words is "thirteen million, eight hundred eighteen thousand, two hundred".