581340320 has 96 divisors (see below), whose sum is σ = 1509834816. Its totient is φ = 209766400.

The previous prime is 581340311. The next prime is 581340323. The reversal of 581340320 is 23043185.

It is a Cunningham number, because it is equal to 24111²-1.

It is a super-3 number, since 3×581340320³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 581340320.

It is not an unprimeable number, because it can be changed into a prime (581340323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239915 + ... + 242325.

It is an arithmetic number, because the mean of its divisors is an integer number (15727446).

Almost surely, 2^581340320 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 581340320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754917408).

581340320 is an abundant number, since it is smaller than the sum of its proper divisors (928494496).

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

581340320 is a wasteful number, since it uses less digits than its factorization.

581340320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2574 (or 2566 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 581340320 is about 24110.9999792626. Note that the first 4 decimals coincide. The cubic root of 581340320 is about 834.5969919872.

The spelling of 581340320 in words is "five hundred eighty-one million, three hundred forty thousand, three hundred twenty".