171960 has 32 divisors (see below), whose sum is σ = 516240. Its totient is φ = 45824.

The previous prime is 171947. The next prime is 172001. The reversal of 171960 is 69171.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 171960.

It is a congruent number.

It is an unprimeable number.

171960 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, 597 + ... + 836.

2¹⁷¹⁹⁶⁰ is an apocalyptic number.

171960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

171960 is an abundant number, since it is smaller than the sum of its proper divisors (344280).

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

171960 is a wasteful number, since it uses less digits than its factorization.

171960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 24.

The square root of 171960 is about 414.6805999803. The cubic root of 171960 is about 55.6086662474.

The spelling of 171960 in words is "one hundred seventy-one thousand, nine hundred sixty".