18989600 has 72 divisors (see below), whose sum is σ = 52996608. Its totient is φ = 6508800.

The previous prime is 18989587. The next prime is 18989627. The reversal of 18989600 is 698981.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3905 + ... + 7295.

It is an arithmetic number, because the mean of its divisors is an integer number (736064).

Almost surely, 2^18989600 is an apocalyptic number.

18989600 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 18989600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26498304).

18989600 is an abundant number, since it is smaller than the sum of its proper divisors (34007008).

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

18989600 is a wasteful number, since it uses less digits than its factorization.

18989600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3418 (or 3405 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 41.

The square root of 18989600 is about 4357.7058184324. The cubic root of 18989600 is about 266.7914693597.

The spelling of 18989600 in words is "eighteen million, nine hundred eighty-nine thousand, six hundred".