687785168 has 60 divisors (see below), whose sum is σ = 1588031172. Its totient is φ = 287562240.

The previous prime is 687785149. The next prime is 687785177. The reversal of 687785168 is 861587786.

687785168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 377602624 + 310182544 = 19432^2 + 17612^2 .

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21446 + ... + 42842.

Almost surely, 2^687785168 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 687785168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794015586).

687785168 is an abundant number, since it is smaller than the sum of its proper divisors (900246004).

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

687785168 is a wasteful number, since it uses less digits than its factorization.

687785168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21460 (or 21447 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 56.

The square root of 687785168 is about 26225.6585808631. The cubic root of 687785168 is about 882.7090963419.

The spelling of 687785168 in words is "six hundred eighty-seven million, seven hundred eighty-five thousand, one hundred sixty-eight".