17128080 has 60 divisors (see below), whose sum is σ = 57524220. Its totient is φ = 4567296.

The previous prime is 17128079. The next prime is 17128087. The reversal of 17128080 is 8082171.

It can be written as a sum of positive squares in 2 ways, for example, as 4511376 + 12616704 = 2124^2 + 3552^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×17128080² = 586742248972800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (17128087) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11175 + ... + 12614.

It is an arithmetic number, because the mean of its divisors is an integer number (958737).

Almost surely, 2^17128080 is an apocalyptic number.

17128080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

17128080 is an abundant number, since it is smaller than the sum of its proper divisors (40396140).

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

17128080 is a wasteful number, since it uses less digits than its factorization.

17128080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23808 (or 23799 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 17128080 is about 4138.6084617900. The cubic root of 17128080 is about 257.7722887148.

The spelling of 17128080 in words is "seventeen million, one hundred twenty-eight thousand, eighty".