585648 has 90 divisors (see below), whose sum is σ = 1929564. Its totient is φ = 165312.

The previous prime is 585643. The next prime is 585653. The reversal of 585648 is 846585.

It is a happy number.

585648 is a `hidden beast` number, since 5 + 8 + 5 + 648 = 666.

It is an interprime number because it is at equal distance from previous prime (585643) and next prime (585653).

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

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 585648.

It is not an unprimeable number, because it can be changed into a prime (585643) by changing a digit.

585648 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 17 ways as a sum of consecutive naturals, for example, 7015 + ... + 7097.

585648 is a Friedman number, since it can be written as 8+8*5*(6+5)^4, using all its digits and the basic arithmetic operations.

2⁵⁸⁵⁶⁴⁸ 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 585648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964782).

585648 is an abundant number, since it is smaller than the sum of its proper divisors (1343916).

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

585648 is a wasteful number, since it uses less digits than its factorization.

585648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 95 counting only the distinct ones).

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

The square root of 585648 is about 765.2764206481. The cubic root of 585648 is about 83.6653350969.

The spelling of 585648 in words is "five hundred eighty-five thousand, six hundred forty-eight".