8680414608 has 120 divisors (see below), whose sum is σ = 25758460728. Its totient is φ = 2719420416.

The previous prime is 8680414607. The next prime is 8680414663. The reversal of 8680414608 is 8064140868.

It can be written as a sum of positive squares in 4 ways, for example, as 517653504 + 8162761104 = 22752^2 + 90348^2 .

It is not an unprimeable number, because it can be changed into a prime (8680414607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2086066 + ... + 2090222.

Almost surely, 2^8680414608 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 8680414608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12879230364).

8680414608 is an abundant number, since it is smaller than the sum of its proper divisors (17078046120).

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

8680414608 is a wasteful number, since it uses less digits than its factorization.

8680414608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5041 (or 5032 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 8680414608 is about 93168.7426554636. The cubic root of 8680414608 is about 2055.1656051385.

The spelling of 8680414608 in words is "eight billion, six hundred eighty million, four hundred fourteen thousand, six hundred eight".