871956 has 36 divisors (see below), whose sum is σ = 2250612. Its totient is φ = 284544.

The previous prime is 871931. The next prime is 871957. The reversal of 871956 is 659178.

It can be written as a sum of positive squares in 2 ways, for example, as 695556 + 176400 = 834^2 + 420^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 self number, because there is not a number n which added to its sum of digits gives 871956.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (871957) by changing a digit.

871956 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1680 + ... + 2136.

It is an arithmetic number, because the mean of its divisors is an integer number (62517).

2⁸⁷¹⁹⁵⁶ 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 871956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125306).

871956 is an abundant number, since it is smaller than the sum of its proper divisors (1378656).

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

871956 is a wasteful number, since it uses less digits than its factorization.

871956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 515 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 871956 is about 933.7858426856. The cubic root of 871956 is about 95.5355167002.

The spelling of 871956 in words is "eight hundred seventy-one thousand, nine hundred fifty-six".