8085670560 has 384 divisors, whose sum is σ = 32691859200. Its totient is φ = 1844674560.

The previous prime is 8085670547. The next prime is 8085670589. The reversal of 8085670560 is 650765808.

8085670560 is a `hidden beast` number, since 8 + 0 + 85 + 6 + 7 + 0 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 802836 + ... + 812844.

It is an arithmetic number, because the mean of its divisors is an integer number (85135050).

Almost surely, 2^8085670560 is an apocalyptic number.

8085670560 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 8085670560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16345929600).

8085670560 is an abundant number, since it is smaller than the sum of its proper divisors (24606188640).

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

8085670560 is a wasteful number, since it uses less digits than its factorization.

8085670560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10061 (or 10047 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 8085670560 is about 89920.3567608581. The cubic root of 8085670560 is about 2007.1138796900.

The spelling of 8085670560 in words is "eight billion, eighty-five million, six hundred seventy thousand, five hundred sixty".