679555584 has 120 divisors (see below), whose sum is σ = 1984476780. Its totient is φ = 223838208.

The previous prime is 679555567. The next prime is 679555633. The reversal of 679555584 is 485555976.

679555584 is a `hidden beast` number, since 6 + 7 + 9 + 5 + 55 + 584 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 635040000 + 44515584 = 25200^2 + 6672^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 679555584.

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 11 ways as a sum of consecutive naturals, for example, 409284 + ... + 410940.

Almost surely, 2^679555584 is an apocalyptic number.

679555584 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 679555584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992238390).

679555584 is an abundant number, since it is smaller than the sum of its proper divisors (1304921196).

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

679555584 is a wasteful number, since it uses less digits than its factorization.

679555584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770 (or 1751 counting only the distinct ones).

The product of its digits is 7560000, while the sum is 54.

The square root of 679555584 is about 26068.2869402652. The cubic root of 679555584 is about 879.1743219517.

The spelling of 679555584 in words is "six hundred seventy-nine million, five hundred fifty-five thousand, five hundred eighty-four".