688828608 has 168 divisors, whose sum is σ = 2159587248. Its totient is φ = 208631808.

The previous prime is 688828607. The next prime is 688828631. The reversal of 688828608 is 806828886.

688828608 is a `hidden beast` number, since 6 + 8 + 8 + 8 + 28 + 608 = 666.

It is not an unprimeable number, because it can be changed into a prime (688828601) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 501010 + ... + 502382.

It is an arithmetic number, because the mean of its divisors is an integer number (12854686).

Almost surely, 2^688828608 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 688828608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079793624).

688828608 is an abundant number, since it is smaller than the sum of its proper divisors (1470758640).

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

688828608 is a wasteful number, since it uses less digits than its factorization.

688828608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The square root of 688828608 is about 26245.5445361684. The cubic root of 688828608 is about 883.1552572639.

The spelling of 688828608 in words is "six hundred eighty-eight million, eight hundred twenty-eight thousand, six hundred eight".