18890800 has 60 divisors (see below), whose sum is σ = 46012680. Its totient is φ = 7452160.

The previous prime is 18890783. The next prime is 18890801. The reversal of 18890800 is 809881.

It is not an unprimeable number, because it can be changed into a prime (18890801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32916 + ... + 33484.

It is an arithmetic number, because the mean of its divisors is an integer number (766878).

Almost surely, 2^18890800 is an apocalyptic number.

18890800 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 18890800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23006340).

18890800 is an abundant number, since it is smaller than the sum of its proper divisors (27121880).

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

18890800 is a wasteful number, since it uses less digits than its factorization.

18890800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 34.

The square root of 18890800 is about 4346.3547945376. The cubic root of 18890800 is about 266.3279727841.

The spelling of 18890800 in words is "eighteen million, eight hundred ninety thousand, eight hundred".