679735584 has 192 divisors, whose sum is σ = 2222398080. Its totient is φ = 200309760.

The previous prime is 679735579. The next prime is 679735601. The reversal of 679735584 is 485537976.

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

It is a self number, because there is not a number n which added to its sum of digits gives 679735584.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 350682 + ... + 352614.

It is an arithmetic number, because the mean of its divisors is an integer number (11574990).

Almost surely, 2^679735584 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 679735584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111199040).

679735584 is an abundant number, since it is smaller than the sum of its proper divisors (1542662496).

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

679735584 is a wasteful number, since it uses less digits than its factorization.

679735584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000 (or 1986 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The square root of 679735584 is about 26071.7391824941. The cubic root of 679735584 is about 879.2519400358.

The spelling of 679735584 in words is "six hundred seventy-nine million, seven hundred thirty-five thousand, five hundred eighty-four".