585468 has 60 divisors (see below), whose sum is σ = 1660120. Its totient is φ = 178848.

The previous prime is 585467. The next prime is 585493. The reversal of 585468 is 864585.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (585461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4143 + ... + 4281.

2⁵⁸⁵⁴⁶⁸ 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 585468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830060).

585468 is an abundant number, since it is smaller than the sum of its proper divisors (1074652).

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

585468 is a wasteful number, since it uses less digits than its factorization.

585468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 157 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 585468 is about 765.1588070460. The cubic root of 585468 is about 83.6567626533.

The spelling of 585468 in words is "five hundred eighty-five thousand, four hundred sixty-eight".