8716584960 has 576 divisors, whose sum is σ = 32625815040. Its totient is φ = 2229534720.

The previous prime is 8716584959. The next prime is 8716584971. The reversal of 8716584960 is 694856178.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8716584897 and 8716584906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77137864 + ... + 77137976.

It is an arithmetic number, because the mean of its divisors is an integer number (56642040).

Almost surely, 2^8716584960 is an apocalyptic number.

8716584960 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 8716584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16312907520).

8716584960 is an abundant number, since it is smaller than the sum of its proper divisors (23909230080).

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

8716584960 is a wasteful number, since it uses less digits than its factorization.

8716584960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 8716584960 is about 93362.6529186055. The cubic root of 8716584960 is about 2058.0162006052.

The spelling of 8716584960 in words is "eight billion, seven hundred sixteen million, five hundred eighty-four thousand, nine hundred sixty".