581568 has 56 divisors (see below), whose sum is σ = 1664208. Its totient is φ = 178176.

The previous prime is 581557. The next prime is 581573. The reversal of 581568 is 865185.

581568 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 unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2380 + ... + 2612.

It is an arithmetic number, because the mean of its divisors is an integer number (29718).

2⁵⁸¹⁵⁶⁸ 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 581568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832104).

581568 is an abundant number, since it is smaller than the sum of its proper divisors (1082640).

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

581568 is a wasteful number, since it uses less digits than its factorization.

581568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 251 counting only the distinct ones).

The product of its digits is 9600, while the sum is 33.

The square root of 581568 is about 762.6060581978. The cubic root of 581568 is about 83.4705933477.

The spelling of 581568 in words is "five hundred eighty-one thousand, five hundred sixty-eight".