8066116608 has 176 divisors, whose sum is σ = 24265301760. Its totient is φ = 2359705600.

The previous prime is 8066116603. The next prime is 8066116613.

8066116608 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (8066116603) and next prime (8066116613).

It is a tau number, because it is divible by the number of its divisors (176).

It is a self number, because there is not a number n which added to its sum of digits gives 8066116608.

It is not an unprimeable number, because it can be changed into a prime (8066116603) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 975853 + ... + 984083.

Almost surely, 2^8066116608 is an apocalyptic number.

8066116608 is a gapful number since it is divisible by the number (88) 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 8066116608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12132650880).

8066116608 is an abundant number, since it is smaller than the sum of its proper divisors (16199185152).

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

8066116608 is a wasteful number, since it uses less digits than its factorization.

8066116608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8294 (or 8276 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 8066116608 is about 89811.5616610690. The cubic root of 8066116608 is about 2005.4946081501.

The spelling of 8066116608 in words is "eight billion, sixty-six million, one hundred sixteen thousand, six hundred eight".