18285120 has 168 divisors, whose sum is σ = 71957184. Its totient is φ = 4174848.

The previous prime is 18285101. The next prime is 18285121. The reversal of 18285120 is 2158281.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×18285120² = 668691226828800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (18285121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19707 + ... + 20613.

Almost surely, 2^18285120 is an apocalyptic number.

18285120 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 18285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35978592).

18285120 is an abundant number, since it is smaller than the sum of its proper divisors (53672064).

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

18285120 is a wasteful number, since it uses less digits than its factorization.

18285120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 18285120 is about 4276.1103821113. The cubic root of 18285120 is about 263.4506482928.

The spelling of 18285120 in words is "eighteen million, two hundred eighty-five thousand, one hundred twenty".