8696338560 has 768 divisors, whose sum is σ = 37852738560. Its totient is φ = 1790705664.

The previous prime is 8696338543. The next prime is 8696338561. The reversal of 8696338560 is 658336968.

It is a junction number, because it is equal to n+sod(n) for n = 8696338497 and 8696338506.

It is not an unprimeable number, because it can be changed into a prime (8696338561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24635344 + ... + 24635696.

It is an arithmetic number, because the mean of its divisors is an integer number (49287420).

Almost surely, 2^8696338560 is an apocalyptic number.

8696338560 is a gapful number since it is divisible by the number (80) 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 8696338560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18926369280).

8696338560 is an abundant number, since it is smaller than the sum of its proper divisors (29156400000).

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

8696338560 is a wasteful number, since it uses less digits than its factorization.

8696338560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The square root of 8696338560 is about 93254.1610867848. The cubic root of 8696338560 is about 2056.4215500238.

The spelling of 8696338560 in words is "eight billion, six hundred ninety-six million, three hundred thirty-eight thousand, five hundred sixty".