8916682320 has 960 divisors, whose sum is σ = 39491472384. Its totient is φ = 1751777280.

The previous prime is 8916682267. The next prime is 8916682321. The reversal of 8916682320 is 232866198.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8916682321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 91924512 + ... + 91924608.

Almost surely, 2^8916682320 is an apocalyptic number.

8916682320 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 8916682320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19745736192).

8916682320 is an abundant number, since it is smaller than the sum of its proper divisors (30574790064).

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

8916682320 is a wasteful number, since it uses less digits than its factorization.

8916682320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 8916682320 is about 94428.1860463283. The cubic root of 8916682320 is about 2073.6451072757.

The spelling of 8916682320 in words is "eight billion, nine hundred sixteen million, six hundred eighty-two thousand, three hundred twenty".