871968 has 48 divisors (see below), whose sum is σ = 2370816. Its totient is φ = 280320.

The previous prime is 871963. The next prime is 871973. The reversal of 871968 is 869178.

It is an interprime number because it is at equal distance from previous prime (871963) and next prime (871973).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (871963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2830 + ... + 3122.

It is an arithmetic number, because the mean of its divisors is an integer number (49392).

2⁸⁷¹⁹⁶⁸ 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 871968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185408).

871968 is an abundant number, since it is smaller than the sum of its proper divisors (1498848).

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

871968 is a wasteful number, since it uses less digits than its factorization.

871968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 329 counting only the distinct ones).

The product of its digits is 24192, while the sum is 39.

The square root of 871968 is about 933.7922681196. The cubic root of 871968 is about 95.5359549566.

The spelling of 871968 in words is "eight hundred seventy-one thousand, nine hundred sixty-eight".