8672168656 has 120 divisors (see below), whose sum is σ = 18638092800. Its totient is φ = 3903744000.

The previous prime is 8672168647. The next prime is 8672168677. The reversal of 8672168656 is 6568612768.

It is a junction number, because it is equal to n+sod(n) for n = 8672168597 and 8672168606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14477445 + ... + 14478043.

It is an arithmetic number, because the mean of its divisors is an integer number (155317440).

Almost surely, 2^8672168656 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 8672168656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9319046400).

8672168656 is an abundant number, since it is smaller than the sum of its proper divisors (9965924144).

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

8672168656 is a wasteful number, since it uses less digits than its factorization.

8672168656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 750 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 55.

The square root of 8672168656 is about 93124.4793596184. The cubic root of 8672168656 is about 2054.5146313955.

The spelling of 8672168656 in words is "eight billion, six hundred seventy-two million, one hundred sixty-eight thousand, six hundred fifty-six".