688326912 has 432 divisors, whose sum is σ = 2529654400. Its totient is φ = 178827264.

The previous prime is 688326907. The next prime is 688326913. The reversal of 688326912 is 219623886.

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

It is not an unprimeable number, because it can be changed into a prime (688326913) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10273503 + ... + 10273569.

Almost surely, 2^688326912 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 688326912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264827200).

688326912 is an abundant number, since it is smaller than the sum of its proper divisors (1841327488).

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

688326912 is a wasteful number, since it uses less digits than its factorization.

688326912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 92 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 688326912 is about 26235.9850586937. The cubic root of 688326912 is about 882.9407950755.

The spelling of 688326912 in words is "six hundred eighty-eight million, three hundred twenty-six thousand, nine hundred twelve".