688633344 has 240 divisors, whose sum is σ = 2336793888. Its totient is φ = 191102976.

The previous prime is 688633343. The next prime is 688633369. The reversal of 688633344 is 443336886.

688633344 is a `hidden beast` number, since 6 + 8 + 8 + 633 + 3 + 4 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 688633344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688633343) 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, 1193184 + ... + 1193760.

Almost surely, 2^688633344 is an apocalyptic number.

688633344 is a gapful number since it is divisible by the number (64) 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 688633344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168396944).

688633344 is an abundant number, since it is smaller than the sum of its proper divisors (1648160544).

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

688633344 is a wasteful number, since it uses less digits than its factorization.

688633344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 626 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 688633344 is about 26241.8243268261. The cubic root of 688633344 is about 883.0717992874.

The spelling of 688633344 in words is "six hundred eighty-eight million, six hundred thirty-three thousand, three hundred forty-four".