180160 has 28 divisors (see below), whose sum is σ = 429768. Its totient is φ = 71936.

The previous prime is 180137. The next prime is 180161. The reversal of 180160 is 61081.

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

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180161) by changing a digit.

180160 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39 + ... + 601.

2¹⁸⁰¹⁶⁰ is an apocalyptic number.

180160 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 180160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214884).

180160 is an abundant number, since it is smaller than the sum of its proper divisors (249608).

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

180160 is an equidigital number, since it uses as much as digits as its factorization.

180160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 570 counting only the distinct ones).

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

The square root of 180160 is about 424.4525886362. The cubic root of 180160 is about 56.4788863078.

The spelling of 180160 in words is "one hundred eighty thousand, one hundred sixty".