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18160 = 245227

18160 has 20 divisors (see below), whose sum is σ = 42408. Its totient is φ = 7232.

The previous prime is 18149. The next prime is 18169. The reversal of 18160 is 6181.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a plaindrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18169) by changing a digit.

18160 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 34 + ... + 193.

218160 is an apocalyptic number.

18160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18160 is an abundant number, since it is smaller than the sum of its proper divisors (24248).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21204).

18160 is a wasteful number, since it uses less digits than its factorization.

18160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 18160 is about 134.7590442234. The cubic root of 18160 is about 26.2848365897.

The spelling of 18160 in words is "eighteen thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 227 454 908 1135 1816 2270 3632 4540 9080 18160