687856312 has 128 divisors (see below), whose sum is σ = 1623706560. Its totient is φ = 268369920.

The previous prime is 687856277. The next prime is 687856319. The reversal of 687856312 is 213658786.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687856319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2197468 + ... + 2197780.

Almost surely, 2^687856312 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 687856312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811853280).

687856312 is an abundant number, since it is smaller than the sum of its proper divisors (935850248).

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

687856312 is a wasteful number, since it uses less digits than its factorization.

687856312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 469 counting only the distinct ones).

The product of its digits is 483840, while the sum is 46.

The square root of 687856312 is about 26227.0149273607. The cubic root of 687856312 is about 882.7395308892.

It can be divided in two parts, 6878 and 56312, that added together give a triangular number (63190 = T₃₅₅).

The spelling of 687856312 in words is "six hundred eighty-seven million, eight hundred fifty-six thousand, three hundred twelve".