18988800 has 216 divisors, whose sum is σ = 66912384. Its totient is φ = 4730880.

The previous prime is 18988793. The next prime is 18988811. The reversal of 18988800 is 888981.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 441579 + ... + 441621.

Almost surely, 2^18988800 is an apocalyptic number.

18988800 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 18988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33456192).

18988800 is an abundant number, since it is smaller than the sum of its proper divisors (47923584).

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

18988800 is a wasteful number, since it uses less digits than its factorization.

18988800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 42.

The square root of 18988800 is about 4357.6140260468. The cubic root of 18988800 is about 266.7877228147.

The spelling of 18988800 in words is "eighteen million, nine hundred eighty-eight thousand, eight hundred".