5680 has 20 divisors (see below), whose sum is σ = 13392. Its totient is φ = 2240.

The previous prime is 5669. The next prime is 5683. The reversal of 5680 is 865.

5680 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (20).

It is a plaindrome in base 13.

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (5683) by changing a digit.

5680 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45 + ... + 115.

2⁵⁶⁸⁰ 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 5680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6696).

5680 is an abundant number, since it is smaller than the sum of its proper divisors (7712).

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

5680 is a wasteful number, since it uses less digits than its factorization.

5680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 5680 is about 75.3657747257. The cubic root of 5680 is about 17.8422428089.

It can be divided in two parts, 56 and 80, that added together give a triangular number (136 = T₁₆).

The spelling of 5680 in words is "five thousand, six hundred eighty".