8692882968 has 192 divisors, whose sum is σ = 27463968000. Its totient is φ = 2244337920.

The previous prime is 8692882963. The next prime is 8692882993.

8692882968 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 8692882899 and 8692882908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8692882963) 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 47 ways as a sum of consecutive naturals, for example, 3637518 + ... + 3639906.

It is an arithmetic number, because the mean of its divisors is an integer number (143041500).

Almost surely, 2^8692882968 is an apocalyptic number.

8692882968 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 8692882968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13731984000).

8692882968 is an abundant number, since it is smaller than the sum of its proper divisors (18771085032).

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

8692882968 is a wasteful number, since it uses less digits than its factorization.

8692882968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2606 (or 2591 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 66.

The square root of 8692882968 is about 93235.6314291913. The cubic root of 8692882968 is about 2056.1491328736.

The spelling of 8692882968 in words is "eight billion, six hundred ninety-two million, eight hundred eighty-two thousand, nine hundred sixty-eight".