871984512 has 192 divisors, whose sum is σ = 2909986560. Its totient is φ = 245468160.

The previous prime is 871984511. The next prime is 871984591. The reversal of 871984512 is 215489178.

871984512 is a `hidden beast` number, since 8 + 7 + 198 + 451 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (871984511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 571783 + ... + 573305.

It is an arithmetic number, because the mean of its divisors is an integer number (15156180).

Almost surely, 2^871984512 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 871984512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454993280).

871984512 is an abundant number, since it is smaller than the sum of its proper divisors (2038002048).

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

871984512 is a wasteful number, since it uses less digits than its factorization.

871984512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621 (or 1606 counting only the distinct ones).

The product of its digits is 161280, while the sum is 45.

The square root of 871984512 is about 29529.3838743716. The cubic root of 871984512 is about 955.3655799083.

The spelling of 871984512 in words is "eight hundred seventy-one million, nine hundred eighty-four thousand, five hundred twelve".