8613634560 has 160 divisors (see below), whose sum is σ = 27806613120. Its totient is φ = 2274459648.

The previous prime is 8613634517. The next prime is 8613634597. The reversal of 8613634560 is 654363168.

It is a tau number, because it is divible by the number of its divisors (160).

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, 785596 + ... + 796484.

It is an arithmetic number, because the mean of its divisors is an integer number (173791332).

Almost surely, 2^8613634560 is an apocalyptic number.

8613634560 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 8613634560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13903306560).

8613634560 is an abundant number, since it is smaller than the sum of its proper divisors (19192978560).

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

8613634560 is a wasteful number, since it uses less digits than its factorization.

8613634560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11018 (or 11002 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 8613634560 is about 92809.6684618580. The cubic root of 8613634560 is about 2049.8817746612.

The spelling of 8613634560 in words is "eight billion, six hundred thirteen million, six hundred thirty-four thousand, five hundred sixty".