586704 has 40 divisors (see below), whose sum is σ = 1607040. Its totient is φ = 183808.

The previous prime is 586693. The next prime is 586711. The reversal of 586704 is 407685.

It is a happy number.

586704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

586704 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 7 ways as a sum of consecutive naturals, for example, 457 + ... + 1175.

It is an arithmetic number, because the mean of its divisors is an integer number (40176).

2⁵⁸⁶⁷⁰⁴ 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 586704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803520).

586704 is an abundant number, since it is smaller than the sum of its proper divisors (1020336).

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

586704 is a wasteful number, since it uses less digits than its factorization.

586704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 586704 is about 765.9660566892. The cubic root of 586704 is about 83.7155914195.

The spelling of 586704 in words is "five hundred eighty-six thousand, seven hundred four".