8680 has 32 divisors (see below), whose sum is σ = 23040. Its totient is φ = 2880.

The previous prime is 8677. The next prime is 8681. The reversal of 8680 is 868.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 265 + ... + 295.

It is an arithmetic number, because the mean of its divisors is an integer number (720).

2⁸⁶⁸⁰ 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 8680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11520).

8680 is an abundant number, since it is smaller than the sum of its proper divisors (14360).

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

8680 is a wasteful number, since it uses less digits than its factorization.

8680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 8680 is about 93.1665175908. The cubic root of 8680 is about 20.5513288390.

The spelling of 8680 in words is "eight thousand, six hundred eighty".