687318912 has 128 divisors (see below), whose sum is σ = 2318419200. Its totient is φ = 196369920.

The previous prime is 687318911. The next prime is 687318953. The reversal of 687318912 is 219813786.

687318912 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 (128).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687318911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9987 + ... + 38397.

It is an arithmetic number, because the mean of its divisors is an integer number (18112650).

Almost surely, 2^687318912 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 687318912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159209600).

687318912 is an abundant number, since it is smaller than the sum of its proper divisors (1631100288).

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

687318912 is a wasteful number, since it uses less digits than its factorization.

687318912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28441 (or 28423 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 687318912 is about 26216.7677641619. The cubic root of 687318912 is about 882.5095856668.

The spelling of 687318912 in words is "six hundred eighty-seven million, three hundred eighteen thousand, nine hundred twelve".