582048 has 72 divisors (see below), whose sum is σ = 1729728. Its totient is φ = 185472.

The previous prime is 582037. The next prime is 582067. The reversal of 582048 is 840285.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12361 + ... + 12407.

It is an arithmetic number, because the mean of its divisors is an integer number (24024).

2⁵⁸²⁰⁴⁸ 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 582048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864864).

582048 is an abundant number, since it is smaller than the sum of its proper divisors (1147680).

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

582048 is a wasteful number, since it uses less digits than its factorization.

582048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 582048 is about 762.9207036121. The cubic root of 582048 is about 83.4935513205.

The spelling of 582048 in words is "five hundred eighty-two thousand, forty-eight".