581232960 has 336 divisors, whose sum is σ = 2493459072. Its totient is φ = 120729600.

The previous prime is 581232959. The next prime is 581232989. The reversal of 581232960 is 69232185.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 220450 + ... + 223070.

Almost surely, 2^581232960 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 581232960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246729536).

581232960 is an abundant number, since it is smaller than the sum of its proper divisors (1912226112).

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

581232960 is a wasteful number, since it uses less digits than its factorization.

581232960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2662 (or 2649 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 581232960 is about 24108.7735067548. The cubic root of 581232960 is about 834.5456119570.

The spelling of 581232960 in words is "five hundred eighty-one million, two hundred thirty-two thousand, nine hundred sixty".