18058320 has 120 divisors (see below), whose sum is σ = 69328896. Its totient is φ = 4126464.

The previous prime is 18058291. The next prime is 18058321. The reversal of 18058320 is 2385081.

It is a happy number.

18058320 is a `hidden beast` number, since 1 + 80 + 583 + 2 + 0 = 666.

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

It is a super-2 number, since 2×18058320² = 652205842444800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18058321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3249 + ... + 6831.

Almost surely, 2^18058320 is an apocalyptic number.

18058320 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 18058320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34664448).

18058320 is an abundant number, since it is smaller than the sum of its proper divisors (51270576).

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

18058320 is a wasteful number, since it uses less digits than its factorization.

18058320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3609 (or 3600 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 18058320 is about 4249.5082068399. The cubic root of 18058320 is about 262.3568743572.

It can be divided in two parts, 180 and 58320, that multiplied together give a square (10497600 = 3240²).

The spelling of 18058320 in words is "eighteen million, fifty-eight thousand, three hundred twenty".