18385000 has 40 divisors (see below), whose sum is σ = 43087770. Its totient is φ = 7352000.

The previous prime is 18384991. The next prime is 18385021. The reversal of 18385000 is 58381.

It can be written as a sum of positive squares in 5 ways, for example, as 1295044 + 17089956 = 1138^2 + 4134^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3162 + ... + 6838.

Almost surely, 2^18385000 is an apocalyptic number.

18385000 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 18385000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21543885).

18385000 is an abundant number, since it is smaller than the sum of its proper divisors (24702770).

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

18385000 is an equidigital number, since it uses as much as digits as its factorization.

18385000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3703 (or 3684 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 18385000 is about 4287.7733149037. The cubic root of 18385000 is about 263.9294653928.

The spelling of 18385000 in words is "eighteen million, three hundred eighty-five thousand".