579104768 has 52 divisors (see below), whose sum is σ = 1263445368. Its totient is φ = 263208960.

The previous prime is 579104759. The next prime is 579104777. The reversal of 579104768 is 867401975.

It is an interprime number because it is at equal distance from previous prime (579104759) and next prime (579104777).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 38630 + ... + 51482.

Almost surely, 2^579104768 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 579104768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631722684).

579104768 is an abundant number, since it is smaller than the sum of its proper divisors (684340600).

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

579104768 is a wasteful number, since it uses less digits than its factorization.

579104768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12888 (or 12866 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 47.

The square root of 579104768 is about 24064.5957373067. The cubic root of 579104768 is about 833.5257997402.

The spelling of 579104768 in words is "five hundred seventy-nine million, one hundred four thousand, seven hundred sixty-eight".