806586 has 32 divisors (see below), whose sum is σ = 1791936. Its totient is φ = 242000.

The previous prime is 806581. The next prime is 806609. The reversal of 806586 is 685608.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (806581) by changing a digit.

806586 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7936 + ... + 8036.

It is an arithmetic number, because the mean of its divisors is an integer number (55998).

2⁸⁰⁶⁵⁸⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806586, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895968).

806586 is an abundant number, since it is smaller than the sum of its proper divisors (985350).

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

806586 is a wasteful number, since it uses less digits than its factorization.

806586 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 806586 is about 898.1013305858. The cubic root of 806586 is about 93.0858266541.

806586 divided by its sum of digits (33) gives a palindrome (24442).

It can be divided in two parts, 80 and 6586, that added together give a palindrome (6666).

The spelling of 806586 in words is "eight hundred six thousand, five hundred eighty-six".