586820 has 48 divisors (see below), whose sum is σ = 1385328. Its totient is φ = 207360.

The previous prime is 586819. The next prime is 586837. The reversal of 586820 is 28685.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 65536 + 521284 = 256^2 + 722^2 .

It is a super-4 number, since 4×586820⁴ (a number of 24 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9590 + ... + 9650.

It is an arithmetic number, because the mean of its divisors is an integer number (28861).

2⁵⁸⁶⁸²⁰ 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 586820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692664).

586820 is an abundant number, since it is smaller than the sum of its proper divisors (798508).

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

586820 is a wasteful number, since it uses less digits than its factorization.

586820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 586820 is about 766.0417743178. The cubic root of 586820 is about 83.7211083234.

The spelling of 586820 in words is "five hundred eighty-six thousand, eight hundred twenty".