871980 has 24 divisors (see below), whose sum is σ = 2441712. Its totient is φ = 232512.

The previous prime is 871973. The next prime is 871987. The reversal of 871980 is 89178.

871980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (871973) and next prime (871987).

It is not an unprimeable number, because it can be changed into a prime (871987) 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, 7207 + ... + 7326.

It is an arithmetic number, because the mean of its divisors is an integer number (101738).

2⁸⁷¹⁹⁸⁰ is an apocalyptic number.

It is an amenable number.

871980 is an abundant number, since it is smaller than the sum of its proper divisors (1569732).

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

871980 is a wasteful number, since it uses less digits than its factorization.

871980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14545 (or 14543 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The square root of 871980 is about 933.7986935095. The cubic root of 871980 is about 95.5363932090.

The spelling of 871980 in words is "eight hundred seventy-one thousand, nine hundred eighty".