8687556560 has 80 divisors (see below), whose sum is σ = 21192310272. Its totient is φ = 3307737600.

The previous prime is 8687556547. The next prime is 8687556571. The reversal of 8687556560 is 656557868.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 8687556496 and 8687556505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122567 + ... + 179993.

Almost surely, 2^8687556560 is an apocalyptic number.

8687556560 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 8687556560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10596155136).

8687556560 is an abundant number, since it is smaller than the sum of its proper divisors (12504753712).

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

8687556560 is a wasteful number, since it uses less digits than its factorization.

8687556560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57532 (or 57526 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 56.

The square root of 8687556560 is about 93207.0628225136. The cubic root of 8687556560 is about 2055.7290909132.

The spelling of 8687556560 in words is "eight billion, six hundred eighty-seven million, five hundred fifty-six thousand, five hundred sixty".