687268320 has 48 divisors (see below), whose sum is σ = 2164896720. Its totient is φ = 183271424.

The previous prime is 687268319. The next prime is 687268327. The reversal of 687268320 is 23862786.

687268320 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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687268327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 715425 + ... + 716384.

It is an arithmetic number, because the mean of its divisors is an integer number (45102015).

Almost surely, 2^687268320 is an apocalyptic number.

687268320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

687268320 is an abundant number, since it is smaller than the sum of its proper divisors (1477628400).

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

687268320 is a wasteful number, since it uses less digits than its factorization.

687268320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431827 (or 1431819 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 687268320 is about 26215.8028677361. The cubic root of 687268320 is about 882.4879319533.

The spelling of 687268320 in words is "six hundred eighty-seven million, two hundred sixty-eight thousand, three hundred twenty".