18958000 has 40 divisors (see below), whose sum is σ = 45845280. Its totient is φ = 7582400.

The previous prime is 18957997. The next prime is 18958013. The reversal of 18958000 is 85981.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2740 + ... + 6739.

It is an arithmetic number, because the mean of its divisors is an integer number (1146132).

Almost surely, 2^18958000 is an apocalyptic number.

18958000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18958000 is an abundant number, since it is smaller than the sum of its proper divisors (26887280).

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

18958000 is an equidigital number, since it uses as much as digits as its factorization.

18958000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9502 (or 9486 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 31.

The square root of 18958000 is about 4354.0785477527. The cubic root of 18958000 is about 266.6434007480.

The spelling of 18958000 in words is "eighteen million, nine hundred fifty-eight thousand".