171085920 has 96 divisors (see below), whose sum is σ = 544410720. Its totient is φ = 45158400.

The previous prime is 171085919. The next prime is 171085933. The reversal of 171085920 is 29580171.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 46716 + ... + 50244.

It is an arithmetic number, because the mean of its divisors is an integer number (5670945).

Almost surely, 2^171085920 is an apocalyptic number.

171085920 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 171085920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272205360).

171085920 is an abundant number, since it is smaller than the sum of its proper divisors (373324800).

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

171085920 is a wasteful number, since it uses less digits than its factorization.

171085920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3648 (or 3640 counting only the distinct ones).

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

The square root of 171085920 is about 13079.9816513633. The cubic root of 171085920 is about 555.1428574708.

The spelling of 171085920 in words is "one hundred seventy-one million, eighty-five thousand, nine hundred twenty".