18008160 has 48 divisors (see below), whose sum is σ = 56727216. Its totient is φ = 4802048.

The previous prime is 18008153. The next prime is 18008161. The reversal of 18008160 is 6180081.

18008160 = 59² + 60² + ... + 378².

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 18008160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18008161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18279 + ... + 19238.

It is an arithmetic number, because the mean of its divisors is an integer number (1181817).

Almost surely, 2^18008160 is an apocalyptic number.

18008160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18008160 is an abundant number, since it is smaller than the sum of its proper divisors (38719056).

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

18008160 is a wasteful number, since it uses less digits than its factorization.

18008160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37535 (or 37527 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 18008160 is about 4243.6022433777. The cubic root of 18008160 is about 262.1137357524.

The spelling of 18008160 in words is "eighteen million, eight thousand, one hundred sixty".