679085568 has 240 divisors, whose sum is σ = 2304450720. Its totient is φ = 188448768.

The previous prime is 679085567. The next prime is 679085569. The reversal of 679085568 is 865580976.

679085568 is a `hidden beast` number, since 6 + 79 + 0 + 8 + 5 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (679085567) and next prime (679085569).

It is a super-2 number, since 2×679085568² = 922314417331765248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (679085567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1193188 + ... + 1193756.

It is an arithmetic number, because the mean of its divisors is an integer number (9601878).

Almost surely, 2^679085568 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 679085568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152225360).

679085568 is an abundant number, since it is smaller than the sum of its proper divisors (1625365152).

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

679085568 is a wasteful number, since it uses less digits than its factorization.

679085568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The square root of 679085568 is about 26059.2702890929. The cubic root of 679085568 is about 878.9715809672.

The spelling of 679085568 in words is "six hundred seventy-nine million, eighty-five thousand, five hundred sixty-eight".