171960120 has 96 divisors (see below), whose sum is σ = 560495520. Its totient is φ = 45722880.

The previous prime is 171960101. The next prime is 171960149. The reversal of 171960120 is 21069171.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 226782 + ... + 227538.

It is an arithmetic number, because the mean of its divisors is an integer number (5838495).

Almost surely, 2^171960120 is an apocalyptic number.

171960120 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 171960120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280247760).

171960120 is an abundant number, since it is smaller than the sum of its proper divisors (388535400).

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

171960120 is a wasteful number, since it uses less digits than its factorization.

171960120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 171960120 is about 13113.3565497168. The cubic root of 171960120 is about 556.0867918269.

The spelling of 171960120 in words is "one hundred seventy-one million, nine hundred sixty thousand, one hundred twenty".