581416864 has 96 divisors (see below), whose sum is σ = 1408409856. Its totient is φ = 230584320.

The previous prime is 581416861. The next prime is 581416867. The reversal of 581416864 is 468614185.

581416864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (581416861) and next prime (581416867).

It is a self number, because there is not a number n which added to its sum of digits gives 581416864.

It is not an unprimeable number, because it can be changed into a prime (581416861) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231037 + ... + 233539.

It is an arithmetic number, because the mean of its divisors is an integer number (14670936).

Almost surely, 2^581416864 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 581416864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704204928).

581416864 is an abundant number, since it is smaller than the sum of its proper divisors (826992992).

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

581416864 is a wasteful number, since it uses less digits than its factorization.

581416864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2598 (or 2590 counting only the distinct ones).

The product of its digits is 184320, while the sum is 43.

The square root of 581416864 is about 24112.5872523046. The cubic root of 581416864 is about 834.6336203248.

The spelling of 581416864 in words is "five hundred eighty-one million, four hundred sixteen thousand, eight hundred sixty-four".