18900800 has 42 divisors (see below), whose sum is σ = 46511718. Its totient is φ = 7559680.

The previous prime is 18900797. The next prime is 18900823. The reversal of 18900800 is 800981.

It can be written as a sum of positive squares in 3 ways, for example, as 719104 + 18181696 = 848^2 + 4264^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 18900800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4307 + ... + 7506.

Almost surely, 2^18900800 is an apocalyptic number.

18900800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18900800 is an abundant number, since it is smaller than the sum of its proper divisors (27610918).

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

18900800 is a wasteful number, since it uses less digits than its factorization.

18900800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11835 (or 11820 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 18900800 is about 4347.5050316245. The cubic root of 18900800 is about 266.3749587936.

The spelling of 18900800 in words is "eighteen million, nine hundred thousand, eight hundred".