180856 has 32 divisors (see below), whose sum is σ = 383040. Its totient is φ = 79488.

The previous prime is 180847. The next prime is 180871. The reversal of 180856 is 658081.

It is a happy number.

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

180856 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 7 ways as a sum of consecutive naturals, for example, 3825 + ... + 3871.

It is an arithmetic number, because the mean of its divisors is an integer number (11970).

2¹⁸⁰⁸⁵⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191520).

180856 is an abundant number, since it is smaller than the sum of its proper divisors (202184).

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

180856 is a wasteful number, since it uses less digits than its factorization.

180856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 180856 is about 425.2716778719. The cubic root of 180856 is about 56.5515232100.

The spelling of 180856 in words is "one hundred eighty thousand, eight hundred fifty-six".