180830 has 24 divisors (see below), whose sum is σ = 355752. Its totient is φ = 66144.

The previous prime is 180811. The next prime is 180847. The reversal of 180830 is 38081.

180830 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×180830³ = 17739145733361000, which contains 333 as substring.

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

180830 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 11 ways as a sum of consecutive naturals, for example, 1637 + ... + 1743.

It is an arithmetic number, because the mean of its divisors is an integer number (14823).

2¹⁸⁰⁸³⁰ is an apocalyptic number.

180830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

180830 is a deficient number, since it is larger than the sum of its proper divisors (174922).

180830 is a wasteful number, since it uses less digits than its factorization.

180830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 180830 is about 425.2411080787. The cubic root of 180830 is about 56.5488131164.

The spelling of 180830 in words is "one hundred eighty thousand, eight hundred thirty".