170560 has 56 divisors (see below), whose sum is σ = 448056. Its totient is φ = 61440.

The previous prime is 170557. The next prime is 170579. The reversal of 170560 is 65071.

170560 = T₁₉ + T₂₀ + ... + T₁₀₀.

It can be written as a sum of positive squares in 4 ways, for example, as 4096 + 166464 = 64^2 + 408^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4140 + ... + 4180.

It is an arithmetic number, because the mean of its divisors is an integer number (8001).

2¹⁷⁰⁵⁶⁰ is an apocalyptic number.

170560 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 170560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224028).

170560 is an abundant number, since it is smaller than the sum of its proper divisors (277496).

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

170560 is a wasteful number, since it uses less digits than its factorization.

170560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 170560 is about 412.9891039725. The cubic root of 170560 is about 55.4573435185.

The spelling of 170560 in words is "one hundred seventy thousand, five hundred sixty".