8705649960 has 384 divisors, whose sum is σ = 34997114880. Its totient is φ = 1903004928.

The previous prime is 8705649949. The next prime is 8705649973. The reversal of 8705649960 is 699465078.

8705649960 is a `hidden beast` number, since 8 + 70 + 564 + 9 + 9 + 6 + 0 = 666.

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 = 8705649897 and 8705649906.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1562139 + ... + 1567701.

It is an arithmetic number, because the mean of its divisors is an integer number (91138320).

Almost surely, 2^8705649960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8705649960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17498557440).

8705649960 is an abundant number, since it is smaller than the sum of its proper divisors (26291464920).

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

8705649960 is a wasteful number, since it uses less digits than its factorization.

8705649960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5619 (or 5603 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 8705649960 is about 93304.0725799255. The cubic root of 8705649960 is about 2057.1552432290.

The spelling of 8705649960 in words is "eight billion, seven hundred five million, six hundred forty-nine thousand, nine hundred sixty".