171090080 has 96 divisors (see below), whose sum is σ = 465139584. Its totient is φ = 58254336.

The previous prime is 171090071. The next prime is 171090137. The reversal of 171090080 is 80090171.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193319 + ... + 194201.

It is an arithmetic number, because the mean of its divisors is an integer number (4845204).

Almost surely, 2^171090080 is an apocalyptic number.

171090080 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 171090080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232569792).

171090080 is an abundant number, since it is smaller than the sum of its proper divisors (294049504).

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

171090080 is a wasteful number, since it uses less digits than its factorization.

171090080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 26.

The square root of 171090080 is about 13080.1406720264. The cubic root of 171090080 is about 555.1473569168.

Subtracting from 171090080 its reverse (80090171), we obtain a palindrome (90999909).

The spelling of 171090080 in words is "one hundred seventy-one million, ninety thousand, eighty".