580995072 has 384 divisors, whose sum is σ = 2096640000. Its totient is φ = 155271168.

The previous prime is 580995071. The next prime is 580995097. The reversal of 580995072 is 270599085.

It is a happy number.

580995072 is a `hidden beast` number, since 58 + 0 + 99 + 507 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580995071) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7354329 + ... + 7354407.

It is an arithmetic number, because the mean of its divisors is an integer number (5460000).

Almost surely, 2^580995072 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 580995072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048320000).

580995072 is an abundant number, since it is smaller than the sum of its proper divisors (1515644928).

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

580995072 is a wasteful number, since it uses less digits than its factorization.

580995072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 580995072 is about 24103.8393622261. The cubic root of 580995072 is about 834.4317416784.

The spelling of 580995072 in words is "five hundred eighty million, nine hundred ninety-five thousand, seventy-two".