171580920 has 256 divisors, whose sum is σ = 627056640. Its totient is φ = 36715008.

The previous prime is 171580891. The next prime is 171580931. The reversal of 171580920 is 29085171.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1603507 + ... + 1603613.

It is an arithmetic number, because the mean of its divisors is an integer number (2449440).

Almost surely, 2^171580920 is an apocalyptic number.

171580920 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 171580920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313528320).

171580920 is an abundant number, since it is smaller than the sum of its proper divisors (455475720).

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

171580920 is a wasteful number, since it uses less digits than its factorization.

171580920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

The square root of 171580920 is about 13098.8900293116. The cubic root of 171580920 is about 555.6777370974.

The spelling of 171580920 in words is "one hundred seventy-one million, five hundred eighty thousand, nine hundred twenty".