8587560960 has 576 divisors, whose sum is σ = 33392399040. Its totient is φ = 2023096320.

The previous prime is 8587560911. The next prime is 8587561001. The reversal of 8587560960 is 690657858.

8587560960 is a `hidden beast` number, since 8 + 587 + 56 + 0 + 9 + 6 + 0 = 666.

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

It is a super-2 number, since 2×8587560960² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8587560897 and 8587560906.

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, 43591582 + ... + 43591778.

It is an arithmetic number, because the mean of its divisors is an integer number (57972915).

Almost surely, 2^8587560960 is an apocalyptic number.

8587560960 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 8587560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16696199520).

8587560960 is an abundant number, since it is smaller than the sum of its proper divisors (24804838080).

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

8587560960 is a wasteful number, since it uses less digits than its factorization.

8587560960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The square root of 8587560960 is about 92669.0938770850. The cubic root of 8587560960 is about 2047.8113432990.

The spelling of 8587560960 in words is "eight billion, five hundred eighty-seven million, five hundred sixty thousand, nine hundred sixty".