585948 has 48 divisors (see below), whose sum is σ = 1564416. Its totient is φ = 168960.

The previous prime is 585919. The next prime is 585953. The reversal of 585948 is 849585.

585948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 585948.

It is an unprimeable number.

585948 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2940 + ... + 3132.

It is an arithmetic number, because the mean of its divisors is an integer number (32592).

2⁵⁸⁵⁹⁴⁸ 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 585948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782208).

585948 is an abundant number, since it is smaller than the sum of its proper divisors (978468).

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

585948 is a wasteful number, since it uses less digits than its factorization.

585948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 232 counting only the distinct ones).

The product of its digits is 57600, while the sum is 39.

The square root of 585948 is about 765.4724031603. The cubic root of 585948 is about 83.6796186006.

It can be divided in two parts, 58 and 5948, that added together give a palindrome (6006).

The spelling of 585948 in words is "five hundred eighty-five thousand, nine hundred forty-eight".