170160 has 40 divisors (see below), whose sum is σ = 528240. Its totient is φ = 45312.

The previous prime is 170141. The next prime is 170167. The reversal of 170160 is 61071.

170160 = T₂₁ + T₂₂ + ... + T₁₀₀.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (170167) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 115 + ... + 594.

It is an arithmetic number, because the mean of its divisors is an integer number (13206).

2¹⁷⁰¹⁶⁰ is an apocalyptic number.

170160 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 170160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264120).

170160 is an abundant number, since it is smaller than the sum of its proper divisors (358080).

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

170160 is a wasteful number, since it uses less digits than its factorization.

170160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 170160 is about 412.5045454295. The cubic root of 170160 is about 55.4139564381.

The spelling of 170160 in words is "one hundred seventy thousand, one hundred sixty".