17080 has 32 divisors (see below), whose sum is σ = 44640. Its totient is φ = 5760.

The previous prime is 17077. The next prime is 17093. The reversal of 17080 is 8071.

It is a nialpdrome in base 14.

It is a congruent number.

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, 250 + ... + 310.

It is an arithmetic number, because the mean of its divisors is an integer number (1395).

2¹⁷⁰⁸⁰ is an apocalyptic number.

17080 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 17080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22320).

17080 is an abundant number, since it is smaller than the sum of its proper divisors (27560).

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

17080 is a wasteful number, since it uses less digits than its factorization.

With its successor (17081) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (79).

17080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 17080 is about 130.6904740216. The cubic root of 17080 is about 25.7530866316.

Subtracting from 17080 its reverse (8071), we obtain a palindrome (9009).

The spelling of 17080 in words is "seventeen thousand, eighty".