586420 has 24 divisors (see below), whose sum is σ = 1247400. Its totient is φ = 231552.

The previous prime is 586403. The next prime is 586429. The reversal of 586420 is 24685.

586420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 14884 + 571536 = 122^2 + 756^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (586429) by changing a digit.

586420 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, 2046 + ... + 2314.

It is an arithmetic number, because the mean of its divisors is an integer number (51975).

2⁵⁸⁶⁴²⁰ is an apocalyptic number.

It is an amenable number.

586420 is an abundant number, since it is smaller than the sum of its proper divisors (660980).

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

586420 is a wasteful number, since it uses less digits than its factorization.

586420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 586420 is about 765.7806474442. The cubic root of 586420 is about 83.7020814468.

The spelling of 586420 in words is "five hundred eighty-six thousand, four hundred twenty".