586401696 has 72 divisors (see below), whose sum is σ = 1673197344. Its totient is φ = 194808960.

The previous prime is 586401691. The next prime is 586401701. The reversal of 586401696 is 696104685.

586401696 is a `hidden beast` number, since 586 + 4 + 0 + 1 + 69 + 6 = 666.

586401696 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 (586401691) and next prime (586401701).

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (586401691) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86295 + ... + 92841.

It is an arithmetic number, because the mean of its divisors is an integer number (23238852).

Almost surely, 2^586401696 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 586401696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836598672).

586401696 is an abundant number, since it is smaller than the sum of its proper divisors (1086795648).

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

586401696 is a wasteful number, since it uses less digits than its factorization.

586401696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6874 (or 6863 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 586401696 is about 24215.7324068466. The cubic root of 586401696 is about 837.0121056989.

The spelling of 586401696 in words is "five hundred eighty-six million, four hundred one thousand, six hundred ninety-six".