688315320 has 640 divisors, whose sum is σ = 3010867200. Its totient is φ = 136857600.

The previous prime is 688315301. The next prime is 688315343. The reversal of 688315320 is 23513886.

688315320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7733836 + ... + 7733924.

It is an arithmetic number, because the mean of its divisors is an integer number (4704480).

Almost surely, 2^688315320 is an apocalyptic number.

688315320 is a gapful number since it is divisible by the number (60) 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 688315320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505433600).

688315320 is an abundant number, since it is smaller than the sum of its proper divisors (2322551880).

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

688315320 is a wasteful number, since it uses less digits than its factorization.

688315320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 688315320 is about 26235.7641398149. The cubic root of 688315320 is about 882.9358385609.

The spelling of 688315320 in words is "six hundred eighty-eight million, three hundred fifteen thousand, three hundred twenty".