684928608 has 288 divisors, whose sum is σ = 2299159296. Its totient is φ = 174680064.

The previous prime is 684928591. The next prime is 684928619. The reversal of 684928608 is 806829486.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4201935 + ... + 4202097.

It is an arithmetic number, because the mean of its divisors is an integer number (7983192).

Almost surely, 2^684928608 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 684928608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149579648).

684928608 is an abundant number, since it is smaller than the sum of its proper divisors (1614230688).

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

684928608 is a wasteful number, since it uses less digits than its factorization.

684928608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The square root of 684928608 is about 26171.1407470137. The cubic root of 684928608 is about 881.4853564625.

The spelling of 684928608 in words is "six hundred eighty-four million, nine hundred twenty-eight thousand, six hundred eight".