687289680 has 720 divisors, whose sum is σ = 3087302400. Its totient is φ = 136604160.

The previous prime is 687289661. The next prime is 687289693. The reversal of 687289680 is 86982786.

687289680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29882149 + ... + 29882171.

It is an arithmetic number, because the mean of its divisors is an integer number (4287920).

Almost surely, 2^687289680 is an apocalyptic number.

687289680 is a gapful number since it is divisible by the number (60) 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 687289680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543651200).

687289680 is an abundant number, since it is smaller than the sum of its proper divisors (2400012720).

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

687289680 is a wasteful number, since it uses less digits than its factorization.

687289680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 687289680 is about 26216.2102524373. The cubic root of 687289680 is about 882.4970743054.

The spelling of 687289680 in words is "six hundred eighty-seven million, two hundred eighty-nine thousand, six hundred eighty".