688133688 has 64 divisors (see below), whose sum is σ = 1958342400. Its totient is φ = 199457280.

The previous prime is 688133683. The next prime is 688133723. The reversal of 688133688 is 886331886.

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 688133688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688133681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50593 + ... + 62736.

It is an arithmetic number, because the mean of its divisors is an integer number (30599100).

Almost surely, 2^688133688 is an apocalyptic number.

It is an amenable number.

688133688 is an abundant number, since it is smaller than the sum of its proper divisors (1270208712).

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

688133688 is a wasteful number, since it uses less digits than its factorization.

688133688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113372 (or 113368 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 51.

The square root of 688133688 is about 26232.3023770313. The cubic root of 688133688 is about 882.8581689688.

The spelling of 688133688 in words is "six hundred eighty-eight million, one hundred thirty-three thousand, six hundred eighty-eight".