66580 has 12 divisors (see below), whose sum is σ = 139860. Its totient is φ = 26624.

The previous prime is 66571. The next prime is 66587. The reversal of 66580 is 8566.

It can be written as a sum of positive squares in 2 ways, for example, as 24964 + 41616 = 158^2 + 204^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66587) by changing a digit.

66580 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1645 + ... + 1684.

It is an arithmetic number, because the mean of its divisors is an integer number (11655).

2⁶⁶⁵⁸⁰ is an apocalyptic number.

It is an amenable number.

66580 is an abundant number, since it is smaller than the sum of its proper divisors (73280).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69930).

66580 is a wasteful number, since it uses less digits than its factorization.

66580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3338 (or 3336 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 66580 is about 258.0310058888. The cubic root of 66580 is about 40.5304348785.

It can be divided in two parts, 66 and 580, that added together give a palindrome (646).

The spelling of 66580 in words is "sixty-six thousand, five hundred eighty".