581120 has 40 divisors (see below), whose sum is σ = 1399464. Its totient is φ = 231424.

The previous prime is 581101. The next prime is 581137. The reversal of 581120 is 21185.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 2447 + ... + 2673.

2⁵⁸¹¹²⁰ 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 581120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699732).

581120 is an abundant number, since it is smaller than the sum of its proper divisors (818344).

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

581120 is an equidigital number, since it uses as much as digits as its factorization.

581120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 581120 is about 762.3122719726. The cubic root of 581120 is about 83.4491545064.

The spelling of 581120 in words is "five hundred eighty-one thousand, one hundred twenty".