8917680 has 80 divisors (see below), whose sum is σ = 28078560. Its totient is φ = 2340864.

The previous prime is 8917679. The next prime is 8917681. The reversal of 8917680 is 867198.

8917680 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8917679) and next prime (8917681).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (8917681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17266 + ... + 17774.

It is an arithmetic number, because the mean of its divisors is an integer number (350982).

Almost surely, 2^8917680 is an apocalyptic number.

8917680 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 8917680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14039280).

8917680 is an abundant number, since it is smaller than the sum of its proper divisors (19160880).

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

8917680 is a wasteful number, since it uses less digits than its factorization.

8917680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 8917680 is about 2986.2484826283. The cubic root of 8917680 is about 207.3722443854.

The spelling of 8917680 in words is "eight million, nine hundred seventeen thousand, six hundred eighty".