8260516008 has 48 divisors (see below), whose sum is σ = 22378742100. Its totient is φ = 2752704000.

The previous prime is 8260516007. The next prime is 8260516013. The reversal of 8260516008 is 8006150628.

It is a happy number.

8260516008 is a `hidden beast` number, since 82 + 60 + 516 + 0 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8226852804 + 33663204 = 90702^2 + 5802^2 .

It is a super-2 number, since 2×8260516008² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (8260516001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 265258 + ... + 294758.

Almost surely, 2^8260516008 is an apocalyptic number.

It is an amenable number.

8260516008 is an abundant number, since it is smaller than the sum of its proper divisors (14118226092).

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

8260516008 is a wasteful number, since it uses less digits than its factorization.

8260516008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33402 (or 33395 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 8260516008 is about 90887.3809062622. The cubic root of 8260516008 is about 2021.4781854291.

The spelling of 8260516008 in words is "eight billion, two hundred sixty million, five hundred sixteen thousand, eight".