18853800 has 144 divisors (see below), whose sum is σ = 67808160. Its totient is φ = 4245120.

The previous prime is 18853781. The next prime is 18853811. The reversal of 18853800 is 835881.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 281367 + ... + 281433.

It is an arithmetic number, because the mean of its divisors is an integer number (470890).

Almost surely, 2^18853800 is an apocalyptic number.

18853800 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 18853800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33904080).

18853800 is an abundant number, since it is smaller than the sum of its proper divisors (48954360).

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

18853800 is a wasteful number, since it uses less digits than its factorization.

18853800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 18853800 is about 4342.0962679333. The cubic root of 18853800 is about 266.1539802318.

The spelling of 18853800 in words is "eighteen million, eight hundred fifty-three thousand, eight hundred".