579946068 has 120 divisors (see below), whose sum is σ = 1644989192. Its totient is φ = 177106176.

The previous prime is 579946067. The next prime is 579946079. The reversal of 579946068 is 860649975.

579946068 is a `hidden beast` number, since 579 + 9 + 4 + 6 + 0 + 68 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 44116164 + 535829904 = 6642^2 + 23148^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (579946067) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 660846 + ... + 661722.

Almost surely, 2^579946068 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 579946068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822494596).

579946068 is an abundant number, since it is smaller than the sum of its proper divisors (1065043124).

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

579946068 is a wasteful number, since it uses less digits than its factorization.

579946068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 579946068 is about 24082.0694293493. The cubic root of 579946068 is about 833.9292419655.

The spelling of 579946068 in words is "five hundred seventy-nine million, nine hundred forty-six thousand, sixty-eight".