18999200 has 144 divisors (see below), whose sum is σ = 53996544. Its totient is φ = 6451200.

The previous prime is 18999191. The next prime is 18999209. The reversal of 18999200 is 299981.

It is an interprime number because it is at equal distance from previous prime (18999191) and next prime (18999209).

It is not an unprimeable number, because it can be changed into a prime (18999209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149537 + ... + 149663.

It is an arithmetic number, because the mean of its divisors is an integer number (374976).

Almost surely, 2^18999200 is an apocalyptic number.

18999200 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 18999200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26998272).

18999200 is an abundant number, since it is smaller than the sum of its proper divisors (34997344).

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

18999200 is a wasteful number, since it uses less digits than its factorization.

18999200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 38.

The square root of 18999200 is about 4358.8071762811. The cubic root of 18999200 is about 266.8364196945.

The spelling of 18999200 in words is "eighteen million, nine hundred ninety-nine thousand, two hundred".