688082688 has 144 divisors (see below), whose sum is σ = 2061578400. Its totient is φ = 229174272.

The previous prime is 688082687. The next prime is 688082711. The reversal of 688082688 is 886280886.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688082683) 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, 559258 + ... + 560486.

Almost surely, 2^688082688 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 688082688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030789200).

688082688 is an abundant number, since it is smaller than the sum of its proper divisors (1373495712).

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

688082688 is an frugal number, since it uses more digits than its factorization.

688082688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The square root of 688082688 is about 26231.3302750737. The cubic root of 688082688 is about 882.8363578587.

The spelling of 688082688 in words is "six hundred eighty-eight million, eighty-two thousand, six hundred eighty-eight".