586740672 has 560 divisors, whose sum is σ = 2242352640. Its totient is φ = 147806208.

The previous prime is 586740659. The next prime is 586740677. The reversal of 586740672 is 276047685.

586740672 is a `hidden beast` number, since 586 + 7 + 4 + 0 + 67 + 2 = 666.

586740672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×586740672³ (a number of 27 digits) contains 333 as substring.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (586740677) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15857838 + ... + 15857874.

Almost surely, 2^586740672 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 586740672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121176320).

586740672 is an abundant number, since it is smaller than the sum of its proper divisors (1655611968).

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

586740672 is a wasteful number, since it uses less digits than its factorization.

586740672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 586740672 is about 24222.7304819254. The cubic root of 586740672 is about 837.1733560070.

The spelling of 586740672 in words is "five hundred eighty-six million, seven hundred forty thousand, six hundred seventy-two".