18084900 has 72 divisors (see below), whose sum is σ = 54621504. Its totient is φ = 4611200.

The previous prime is 18084851. The next prime is 18084919. The reversal of 18084900 is 948081.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 5590 + ... + 8210.

It is an arithmetic number, because the mean of its divisors is an integer number (758632).

Almost surely, 2^18084900 is an apocalyptic number.

18084900 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 18084900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27310752).

18084900 is an abundant number, since it is smaller than the sum of its proper divisors (36536604).

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

18084900 is a wasteful number, since it uses less digits than its factorization.

18084900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2661 (or 2654 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 18084900 is about 4252.6344775915. The cubic root of 18084900 is about 262.4855320824.

The spelling of 18084900 in words is "eighteen million, eighty-four thousand, nine hundred".