171871720 has 64 divisors (see below), whose sum is σ = 414072000. Its totient is φ = 64009728.

The previous prime is 171871703. The next prime is 171871729. The reversal of 171871720 is 27178171.

It is not an unprimeable number, because it can be changed into a prime (171871729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42924 + ... + 46756.

It is an arithmetic number, because the mean of its divisors is an integer number (6469875).

Almost surely, 2^171871720 is an apocalyptic number.

171871720 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 171871720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207036000).

171871720 is an abundant number, since it is smaller than the sum of its proper divisors (242200280).

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

171871720 is a wasteful number, since it uses less digits than its factorization.

171871720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3922 (or 3918 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 34.

The square root of 171871720 is about 13109.9855072384. The cubic root of 171871720 is about 555.9914858176.

The spelling of 171871720 in words is "one hundred seventy-one million, eight hundred seventy-one thousand, seven hundred twenty".