871032960 has 512 divisors, whose sum is σ = 3720960000. Its totient is φ = 188116992.

The previous prime is 871032949. The next prime is 871032971. The reversal of 871032960 is 69230178.

It is an interprime number because it is at equal distance from previous prime (871032949) and next prime (871032971).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2298051 + ... + 2298429.

It is an arithmetic number, because the mean of its divisors is an integer number (7267500).

Almost surely, 2^871032960 is an apocalyptic number.

871032960 is a gapful number since it is divisible by the number (80) 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 871032960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860480000).

871032960 is an abundant number, since it is smaller than the sum of its proper divisors (2849927040).

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

871032960 is a wasteful number, since it uses less digits than its factorization.

871032960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 415 counting only the distinct ones).

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

The square root of 871032960 is about 29513.2675249624. The cubic root of 871032960 is about 955.0179395952.

The spelling of 871032960 in words is "eight hundred seventy-one million, thirty-two thousand, nine hundred sixty".