8307071136 has 216 divisors, whose sum is σ = 29594594484. Its totient is φ = 2190827520.

The previous prime is 8307071119. The next prime is 8307071159. The reversal of 8307071136 is 6311707038.

It can be written as a sum of positive squares in 2 ways, for example, as 8306499600 + 571536 = 91140^2 + 756^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 8307071136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 160816 + ... + 206096.

Almost surely, 2^8307071136 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 8307071136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14797297242).

8307071136 is an abundant number, since it is smaller than the sum of its proper divisors (21287523348).

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

8307071136 is a wasteful number, since it uses less digits than its factorization.

8307071136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45324 (or 45306 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 8307071136 is about 91143.1354299379. The cubic root of 8307071136 is about 2025.2686641252.

The spelling of 8307071136 in words is "eight billion, three hundred seven million, seventy-one thousand, one hundred thirty-six".