186160 has 40 divisors (see below), whose sum is σ = 468720. Its totient is φ = 68352.

The previous prime is 186157. The next prime is 186161. The reversal of 186160 is 61681.

186160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (186161) 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, 951 + ... + 1129.

It is an arithmetic number, because the mean of its divisors is an integer number (11718).

2¹⁸⁶¹⁶⁰ is an apocalyptic number.

186160 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 186160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234360).

186160 is an abundant number, since it is smaller than the sum of its proper divisors (282560).

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

186160 is a wasteful number, since it uses less digits than its factorization.

186160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 186160 is about 431.4626287409. The cubic root of 186160 is about 57.0990378349.

The spelling of 186160 in words is "one hundred eighty-six thousand, one hundred sixty".