680656608 has 288 divisors, whose sum is σ = 2245501440. Its totient is φ = 201553920.

The previous prime is 680656607. The next prime is 680656619. The reversal of 680656608 is 806656086.

680656608 is a `hidden beast` number, since 6 + 80 + 6 + 566 + 0 + 8 = 666.

680656608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680656607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2511513 + ... + 2511783.

It is an arithmetic number, because the mean of its divisors is an integer number (7796880).

Almost surely, 2^680656608 is an apocalyptic number.

680656608 is a gapful number since it is divisible by the number (68) 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 680656608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122750720).

680656608 is an abundant number, since it is smaller than the sum of its proper divisors (1564844832).

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

680656608 is a wasteful number, since it uses less digits than its factorization.

680656608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 680656608 is about 26089.3964667640. The cubic root of 680656608 is about 879.6488819619.

The spelling of 680656608 in words is "six hundred eighty million, six hundred fifty-six thousand, six hundred eight".