687140168 has 128 divisors (see below), whose sum is σ = 1614211200. Its totient is φ = 269568000.

The previous prime is 687140093. The next prime is 687140191. The reversal of 687140168 is 861041786.

687140168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×687140168² = 944323220958136448, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2195180 + ... + 2195492.

It is an arithmetic number, because the mean of its divisors is an integer number (12611025).

Almost surely, 2^687140168 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 687140168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807105600).

687140168 is an abundant number, since it is smaller than the sum of its proper divisors (927071032).

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

687140168 is a wasteful number, since it uses less digits than its factorization.

687140168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 41.

The square root of 687140168 is about 26213.3585791672. The cubic root of 687140168 is about 882.4330772868.

The spelling of 687140168 in words is "six hundred eighty-seven million, one hundred forty thousand, one hundred sixty-eight".