18058800 has 120 divisors (see below), whose sum is σ = 58813200. Its totient is φ = 4736000.

The previous prime is 18058787. The next prime is 18058823. The reversal of 18058800 is 885081.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×18058800² = 652240514880000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121126 + ... + 121274.

It is an arithmetic number, because the mean of its divisors is an integer number (490110).

Almost surely, 2^18058800 is an apocalyptic number.

18058800 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 18058800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29406600).

18058800 is an abundant number, since it is smaller than the sum of its proper divisors (40754400).

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

18058800 is a wasteful number, since it uses less digits than its factorization.

18058800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 30.

The square root of 18058800 is about 4249.5646835882. The cubic root of 18058800 is about 262.3591988663.

The spelling of 18058800 in words is "eighteen million, fifty-eight thousand, eight hundred".