8086966272 has 702 divisors, whose sum is σ = 30675409674. Its totient is φ = 2043740160.

The previous prime is 8086966253. The next prime is 8086966291. The reversal of 8086966272 is 2726696808.

8086966272 is a `hidden beast` number, since 8 + 0 + 8 + 6 + 9 + 6 + 627 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (8086966253) and next prime (8086966291).

It can be written as a sum of positive squares in only one way, i.e., 7868399616 + 218566656 = 88704^2 + 14784^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 218566638 + ... + 218566674.

Almost surely, 2^8086966272 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 8086966272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15337704837).

8086966272 is an abundant number, since it is smaller than the sum of its proper divisors (22588443402).

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

8086966272 is a wasteful number, since it uses less digits than its factorization.

8086966272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 8086966272 is about 89927.5612479289. The cubic root of 8086966272 is about 2007.2210859144.

The spelling of 8086966272 in words is "eight billion, eighty-six million, nine hundred sixty-six thousand, two hundred seventy-two".