18089600 has 48 divisors (see below), whose sum is σ = 44694870. Its totient is φ = 7234560.

The previous prime is 18089597. The next prime is 18089623. The reversal of 18089600 is 698081.

It can be written as a sum of positive squares in 3 ways, for example, as 15555136 + 2534464 = 3944^2 + 1592^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 374 + ... + 6026.

Almost surely, 2^18089600 is an apocalyptic number.

18089600 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 18089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22347435).

18089600 is an abundant number, since it is smaller than the sum of its proper divisors (26605270).

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

18089600 is an equidigital number, since it uses as much as digits as its factorization.

18089600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5677 (or 5660 counting only the distinct ones).

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

The square root of 18089600 is about 4253.1870403263. The cubic root of 18089600 is about 262.5082688249.

The spelling of 18089600 in words is "eighteen million, eighty-nine thousand, six hundred".