173160 has 96 divisors (see below), whose sum is σ = 622440. Its totient is φ = 41472.

The previous prime is 173149. The next prime is 173177. The reversal of 173160 is 61371.

It can be written as a sum of positive squares in 4 ways, for example, as 142884 + 30276 = 378^2 + 174^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

173160 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 (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4662 + ... + 4698.

2¹⁷³¹⁶⁰ is an apocalyptic number.

173160 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 173160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311220).

173160 is an abundant number, since it is smaller than the sum of its proper divisors (449280).

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

173160 is a wasteful number, since it uses less digits than its factorization.

173160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 173160 is about 416.1249812256. The cubic root of 173160 is about 55.7377190803.

It can be divided in two parts, 173 and 160, that added together give a palindrome (333).

The spelling of 173160 in words is "one hundred seventy-three thousand, one hundred sixty".