871669512 has 320 divisors, whose sum is σ = 2951625600. Its totient is φ = 235146240.

The previous prime is 871669511. The next prime is 871669523. The reversal of 871669512 is 215966178.

871669512 is a `hidden beast` number, since 8 + 71 + 6 + 69 + 512 = 666.

It is not an unprimeable number, because it can be changed into a prime (871669511) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7996914 + ... + 7997022.

It is an arithmetic number, because the mean of its divisors is an integer number (9223830).

Almost surely, 2^871669512 is an apocalyptic number.

871669512 is a gapful number since it is divisible by the number (82) 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 871669512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475812800).

871669512 is an abundant number, since it is smaller than the sum of its proper divisors (2079956088).

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

871669512 is a wasteful number, since it uses less digits than its factorization.

871669512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 205 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 871669512 is about 29524.0497222180. The cubic root of 871669512 is about 955.2505257231.

The spelling of 871669512 in words is "eight hundred seventy-one million, six hundred sixty-nine thousand, five hundred twelve".