871992 has 64 divisors (see below), whose sum is σ = 2649600. Its totient is φ = 263520.

The previous prime is 871987. The next prime is 871993. The reversal of 871992 is 299178.

It is a happy number.

871992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a plaindrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 871992.

It is not an unprimeable number, because it can be changed into a prime (871993) 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, 2193 + ... + 2559.

It is an arithmetic number, because the mean of its divisors is an integer number (41400).

2⁸⁷¹⁹⁹² 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 871992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324800).

871992 is an abundant number, since it is smaller than the sum of its proper divisors (1777608).

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

871992 is a wasteful number, since it uses less digits than its factorization.

871992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 383 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 871992 is about 933.8051188551. The cubic root of 871992 is about 95.5368314573.

The spelling of 871992 in words is "eight hundred seventy-one thousand, nine hundred ninety-two".