171144960 has 144 divisors (see below), whose sum is σ = 624777216. Its totient is φ = 39112704.

The previous prime is 171144959. The next prime is 171144971. The reversal of 171144960 is 69441171.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23697 + ... + 30063.

Almost surely, 2^171144960 is an apocalyptic number.

171144960 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 171144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312388608).

171144960 is an abundant number, since it is smaller than the sum of its proper divisors (453632256).

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

171144960 is an equidigital number, since it uses as much as digits as its factorization.

171144960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6398 (or 6384 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 171144960 is about 13082.2383405899. The cubic root of 171144960 is about 555.2067081661.

The spelling of 171144960 in words is "one hundred seventy-one million, one hundred forty-four thousand, nine hundred sixty".