683006688 has 576 divisors, whose sum is σ = 2678598720. Its totient is φ = 167215104.

The previous prime is 683006657. The next prime is 683006759. The reversal of 683006688 is 886600386.

683006688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9356220 + ... + 9356292.

It is an arithmetic number, because the mean of its divisors is an integer number (4650345).

Almost surely, 2^683006688 is an apocalyptic number.

683006688 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 683006688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339299360).

683006688 is an abundant number, since it is smaller than the sum of its proper divisors (1995592032).

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

683006688 is a wasteful number, since it uses less digits than its factorization.

683006688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 683006688 is about 26134.3966450347. The cubic root of 683006688 is about 880.6600970172.

It can be divided in two parts, 68 and 3006688, that added together give a square (3006756 = 1734²).

The spelling of 683006688 in words is "six hundred eighty-three million, six thousand, six hundred eighty-eight".