585416 has 24 divisors (see below), whose sum is σ = 1191330. Its totient is φ = 269568.

The previous prime is 585413. The next prime is 585437. The reversal of 585416 is 614585.

585416 = 103² + 104² + ... + 141².

It is a happy number.

585416 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 3 ways, for example, as 168100 + 417316 = 410^2 + 646^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (585413) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1136 + ... + 1568.

2⁵⁸⁵⁴¹⁶ 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 585416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595665).

585416 is an abundant number, since it is smaller than the sum of its proper divisors (605914).

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

585416 is a wasteful number, since it uses less digits than its factorization.

585416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 448 counting only the distinct ones).

The product of its digits is 4800, while the sum is 29.

The square root of 585416 is about 765.1248264172. The cubic root of 585416 is about 83.6542858424.

It can be divided in two parts, 585 and 416, that added together give a palindrome (1001).

The spelling of 585416 in words is "five hundred eighty-five thousand, four hundred sixteen".