581940 has 72 divisors (see below), whose sum is σ = 1828008. Its totient is φ = 149760.

The previous prime is 581921. The next prime is 581941. The reversal of 581940 is 49185.

It can be written as a sum of positive squares in 4 ways, for example, as 10404 + 571536 = 102^2 + 756^2 .

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (581941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9510 + ... + 9570.

It is an arithmetic number, because the mean of its divisors is an integer number (25389).

2⁵⁸¹⁹⁴⁰ 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 581940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914004).

581940 is an abundant number, since it is smaller than the sum of its proper divisors (1246068).

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

581940 is a wasteful number, since it uses less digits than its factorization.

581940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 581940 is about 762.8499197090. The cubic root of 581940 is about 83.4883868774.

It can be divided in two parts, 581 and 940, that added together give a square (1521 = 39²).

The spelling of 581940 in words is "five hundred eighty-one thousand, nine hundred forty".