6580 has 24 divisors (see below), whose sum is σ = 16128. Its totient is φ = 2208.

The previous prime is 6577. The next prime is 6581. The reversal of 6580 is 856.

6580 = T₁₅ + T₁₆ + ... + T₃₄.

6580 is nontrivially palindromic in base 13.

It is a cake number, because a cake can be divided into 6580 parts by 34 planar cuts.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6581) 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 7 ways as a sum of consecutive naturals, for example, 117 + ... + 163.

It is an arithmetic number, because the mean of its divisors is an integer number (672).

2⁶⁵⁸⁰ 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 6580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8064).

6580 is an abundant number, since it is smaller than the sum of its proper divisors (9548).

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

6580 is a wasteful number, since it uses less digits than its factorization.

6580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 61 counting only the distinct ones).

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

The square root of 6580 is about 81.1171991627. The cubic root of 6580 is about 18.7388081357.

Subtracting from 6580 its sum of digits (19), we obtain a 8-th power (6561 = 3⁸).

The spelling of 6580 in words is "six thousand, five hundred eighty".