585242112 has 320 divisors, whose sum is σ = 1979873280. Its totient is φ = 149520384.

The previous prime is 585242089. The next prime is 585242117. The reversal of 585242112 is 211242585.

It is a self number, because there is not a number n which added to its sum of digits gives 585242112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (585242117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7408089 + ... + 7408167.

It is an arithmetic number, because the mean of its divisors is an integer number (6187104).

Almost surely, 2^585242112 is an apocalyptic number.

585242112 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 585242112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989936640).

585242112 is an abundant number, since it is smaller than the sum of its proper divisors (1394631168).

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

585242112 is a wasteful number, since it uses less digits than its factorization.

585242112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 157 counting only the distinct ones).

The product of its digits is 6400, while the sum is 30.

The square root of 585242112 is about 24191.7777767571. Note that the first 5 decimals coincide. The cubic root of 585242112 is about 836.4600232158.

Adding to 585242112 its reverse (211242585), we get a palindrome (796484697).

The spelling of 585242112 in words is "five hundred eighty-five million, two hundred forty-two thousand, one hundred twelve".