171056160 has 144 divisors (see below), whose sum is σ = 636854400. Its totient is φ = 41464320.

The previous prime is 171056113. The next prime is 171056177. The reversal of 171056160 is 61650171.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10441 + ... + 21239.

It is an arithmetic number, because the mean of its divisors is an integer number (4422600).

Almost surely, 2^171056160 is an apocalyptic number.

171056160 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 171056160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318427200).

171056160 is an abundant number, since it is smaller than the sum of its proper divisors (465798240).

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

171056160 is a wasteful number, since it uses less digits than its factorization.

171056160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10831 (or 10820 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 171056160 is about 13078.8439856128. The cubic root of 171056160 is about 555.1106669990.

The spelling of 171056160 in words is "one hundred seventy-one million, fifty-six thousand, one hundred sixty".