871168 has 36 divisors (see below), whose sum is σ = 1802808. Its totient is φ = 419840.

The previous prime is 871163. The next prime is 871177. The reversal of 871168 is 861178.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (871163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10455 + ... + 10537.

It is an arithmetic number, because the mean of its divisors is an integer number (50078).

2⁸⁷¹¹⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 871168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901404).

871168 is an abundant number, since it is smaller than the sum of its proper divisors (931640).

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

871168 is an equidigital number, since it uses as much as digits as its factorization.

871168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 126 counting only the distinct ones).

The product of its digits is 2688, while the sum is 31.

The square root of 871168 is about 933.3638090263. The cubic root of 871168 is about 95.5067290563.

The spelling of 871168 in words is "eight hundred seventy-one thousand, one hundred sixty-eight".