585216 has 60 divisors (see below), whose sum is σ = 1702272. Its totient is φ = 193536.

The previous prime is 585199. The next prime is 585217. The reversal of 585216 is 612585.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 585216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (585217) by changing a digit.

585216 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 (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4545 + ... + 4671.

2⁵⁸⁵²¹⁶ 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 585216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851136).

585216 is an abundant number, since it is smaller than the sum of its proper divisors (1117056).

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

585216 is a wasteful number, since it uses less digits than its factorization.

585216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 132 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 585216 is about 764.9941176244. The cubic root of 585216 is about 83.6447582798.

The spelling of 585216 in words is "five hundred eighty-five thousand, two hundred sixteen".