580704 has 48 divisors (see below), whose sum is σ = 1596672. Its totient is φ = 184448.

The previous prime is 580693. The next prime is 580711. The reversal of 580704 is 407085.

580704 = 250² + 251² + ... + 258².

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a plaindrome in base 14.

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 580704.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2077 + ... + 2339.

It is an arithmetic number, because the mean of its divisors is an integer number (33264).

2⁵⁸⁰⁷⁰⁴ 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 580704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798336).

580704 is an abundant number, since it is smaller than the sum of its proper divisors (1015968).

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

580704 is a wasteful number, since it uses less digits than its factorization.

580704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 580704 is about 762.0393690617. The cubic root of 580704 is about 83.4292371427.

Adding to 580704 its reverse (407085), we get a palindrome (987789).

The spelling of 580704 in words is "five hundred eighty thousand, seven hundred four".