580 has 12 divisors (see below), whose sum is σ = 1260.
Its totient is φ = 224.
The previous prime is 577. The next prime is 587. The reversal of 580 is 85.
It can be divided in two parts, 5 and 80, that multiplied together give a square (400 = 202).
580 = T15 + T16 + ... +
580 is nontrivially palindromic in base 12.
580 is an esthetic number in base 4, because in such base its adjacent digits differ by 1.
It can be written as a sum of positive squares in 2 ways, for example, as 256 + 324 = 16^2 + 18^2
580 is an undulating number in base 12.
It is a plaindrome in base 7, base 11, base 13, base 15 and base 16.
It is a nialpdrome in base 5.
It is a self number, because there is not a number n which added to its sum of digits gives 580.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (587) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (3) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6 + ... + 34.
It is an arithmetic number, because the mean of its divisors is an integer number (105).
2580 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 580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630).
580 is an abundant number, since it is smaller than the sum of its proper divisors (680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
580 is a wasteful number, since it uses less digits than its factorization.
580 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 38 (or 36 counting only the distinct ones).
The product of its (nonzero) digits is 40, while the sum is 13.
The square root of 580 is about 24.0831891576.
The cubic root of 580 is about 8.3395509154.
The spelling of 580 in words is "five hundred eighty", and thus it is an aban number and an oban number.