581248 has 32 divisors (see below), whose sum is σ = 1224000. Its totient is φ = 274176.

The previous prime is 581239. The next prime is 581261. The reversal of 581248 is 842185.

It is a tau number, because it is divible by the number of its divisors (32).

It is a plaindrome in base 11.

It is an unprimeable number.

581248 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 3 ways as a sum of consecutive naturals, for example, 2313 + ... + 2551.

It is an arithmetic number, because the mean of its divisors is an integer number (38250).

2⁵⁸¹²⁴⁸ 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 581248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612000).

581248 is an abundant number, since it is smaller than the sum of its proper divisors (642752).

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

581248 is a wasteful number, since it uses less digits than its factorization.

581248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 260 counting only the distinct ones).

The product of its digits is 2560, while the sum is 28.

The square root of 581248 is about 762.3962224460. The cubic root of 581248 is about 83.4552810137.

The spelling of 581248 in words is "five hundred eighty-one thousand, two hundred forty-eight".