871920 has 120 divisors (see below), whose sum is σ = 3365856. Its totient is φ = 198144.

The previous prime is 871919. The next prime is 871931. The reversal of 871920 is 29178.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4954 + ... + 5126.

2⁸⁷¹⁹²⁰ is an apocalyptic number.

871920 is a gapful number since it is divisible by the number (80) 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 871920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682928).

871920 is an abundant number, since it is smaller than the sum of its proper divisors (2493936).

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

871920 is a wasteful number, since it uses less digits than its factorization.

871920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 871920 is about 933.7665661181. The cubic root of 871920 is about 95.5342019068.

The spelling of 871920 in words is "eight hundred seventy-one thousand, nine hundred twenty".