871163136 has 108 divisors (see below), whose sum is σ = 2526864340. Its totient is φ = 288645120.

The previous prime is 871163123. The next prime is 871163141. The reversal of 871163136 is 631361178.

871163136 is a `hidden beast` number, since 8 + 7 + 11 + 631 + 3 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 329204736 + 541958400 = 18144^2 + 23280^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 871163136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 415980 + ... + 418068.

Almost surely, 2^871163136 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 871163136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263432170).

871163136 is an abundant number, since it is smaller than the sum of its proper divisors (1655701204).

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

871163136 is a wasteful number, since it uses less digits than its factorization.

871163136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2292 (or 2275 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 871163136 is about 29515.4728235886. The cubic root of 871163136 is about 955.0655130811.

The spelling of 871163136 in words is "eight hundred seventy-one million, one hundred sixty-three thousand, one hundred thirty-six".