687188128 has 96 divisors (see below), whose sum is σ = 1530627840. Its totient is φ = 300994560.

The previous prime is 687188111. The next prime is 687188137. The reversal of 687188128 is 821881786.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1207428 + ... + 1207996.

It is an arithmetic number, because the mean of its divisors is an integer number (15944040).

Almost surely, 2^687188128 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 687188128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765313920).

687188128 is an abundant number, since it is smaller than the sum of its proper divisors (843439712).

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

687188128 is a wasteful number, since it uses less digits than its factorization.

687188128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 702 counting only the distinct ones).

The product of its digits is 344064, while the sum is 49.

The square root of 687188128 is about 26214.2733639519. The cubic root of 687188128 is about 882.4536070650.

The spelling of 687188128 in words is "six hundred eighty-seven million, one hundred eighty-eight thousand, one hundred twenty-eight".