18906800 has 60 divisors (see below), whose sum is σ = 49564536. Its totient is φ = 6873600.

The previous prime is 18906787. The next prime is 18906817. The reversal of 18906800 is 860981.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2252 + ... + 6548.

Almost surely, 2^18906800 is an apocalyptic number.

18906800 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 18906800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24782268).

18906800 is an abundant number, since it is smaller than the sum of its proper divisors (30657736).

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

18906800 is a wasteful number, since it uses less digits than its factorization.

18906800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4326 (or 4315 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 18906800 is about 4348.1950278248. The cubic root of 18906800 is about 266.4031424448.

The spelling of 18906800 in words is "eighteen million, nine hundred six thousand, eight hundred".