580601 has 18 divisors (see below), whose sum is σ = 734958. Its totient is φ = 456960.

The previous prime is 580577. The next prime is 580607. The reversal of 580601 is 106085.

It can be written as a sum of positive squares in 3 ways, for example, as 90601 + 490000 = 301^2 + 700^2 .

It is not a de Polignac number, because 580601 - 2¹⁸ = 318457 is a prime.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 580601.

It is not an unprimeable number, because it can be changed into a prime (580607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14141 + ... + 14181.

It is an arithmetic number, because the mean of its divisors is an integer number (40831).

2⁵⁸⁰⁶⁰¹ is an apocalyptic number.

It is an amenable number.

580601 is a deficient number, since it is larger than the sum of its proper divisors (154357).

580601 is a wasteful number, since it uses less digits than its factorization.

580601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 580601 is about 761.9717842545. The cubic root of 580601 is about 83.4243042110.

Adding to 580601 its reverse (106085), we get a palindrome (686686).

The spelling of 580601 in words is "five hundred eighty thousand, six hundred one".