163180 has 24 divisors (see below), whose sum is σ = 352800. Its totient is φ = 63360.

The previous prime is 163171. The next prime is 163181. The reversal of 163180 is 81361.

It is not an unprimeable number, because it can be changed into a prime (163181) by changing a digit.

163180 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 721 + ... + 919.

It is an arithmetic number, because the mean of its divisors is an integer number (14700).

2¹⁶³¹⁸⁰ is an apocalyptic number.

163180 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 163180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176400).

163180 is an abundant number, since it is smaller than the sum of its proper divisors (189620).

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

163180 is a wasteful number, since it uses less digits than its factorization.

163180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 163180 is about 403.9554430875. The cubic root of 163180 is about 54.6456558823.

It can be divided in two parts, 1631 and 80, that added together give a triangular number (1711 = T₅₈).

The spelling of 163180 in words is "one hundred sixty-three thousand, one hundred eighty".