688385256 has 128 divisors (see below), whose sum is σ = 1934499840. Its totient is φ = 202694400.

The previous prime is 688385251. The next prime is 688385261. The reversal of 688385256 is 652583886.

688385256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (688385251) and next prime (688385261).

It is a junction number, because it is equal to n+sod(n) for n = 688385199 and 688385208.

It is not an unprimeable number, because it can be changed into a prime (688385251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 995871 + ... + 996561.

It is an arithmetic number, because the mean of its divisors is an integer number (15113280).

Almost surely, 2^688385256 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 688385256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967249920).

688385256 is an abundant number, since it is smaller than the sum of its proper divisors (1246114584).

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

688385256 is a wasteful number, since it uses less digits than its factorization.

688385256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 843 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 51.

The square root of 688385256 is about 26237.0969430690. The cubic root of 688385256 is about 882.9657409946.

The spelling of 688385256 in words is "six hundred eighty-eight million, three hundred eighty-five thousand, two hundred fifty-six".