18087200 has 72 divisors (see below), whose sum is σ = 46122048. Its totient is φ = 6913280.

The previous prime is 18087197. The next prime is 18087211. The reversal of 18087200 is 278081.

It is a self number, because there is not a number n which added to its sum of digits gives 18087200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17909 + ... + 18891.

It is an arithmetic number, because the mean of its divisors is an integer number (640584).

Almost surely, 2^18087200 is an apocalyptic number.

18087200 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 18087200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23061024).

18087200 is an abundant number, since it is smaller than the sum of its proper divisors (28034848).

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

18087200 is a wasteful number, since it uses less digits than its factorization.

18087200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 18087200 is about 4252.9048896019. The cubic root of 18087200 is about 262.4966590656.

The spelling of 18087200 in words is "eighteen million, eighty-seven thousand, two hundred".