687538368 has 168 divisors, whose sum is σ = 2230038720. Its totient is φ = 208293120.

The previous prime is 687538339. The next prime is 687538391. The reversal of 687538368 is 863835786.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169063 + ... + 173081.

It is an arithmetic number, because the mean of its divisors is an integer number (13274040).

Almost surely, 2^687538368 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 687538368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115019360).

687538368 is an abundant number, since it is smaller than the sum of its proper divisors (1542500352).

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

687538368 is a wasteful number, since it uses less digits than its factorization.

687538368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4057 (or 4035 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 687538368 is about 26220.9528430986. The cubic root of 687538368 is about 882.6035019994.

The spelling of 687538368 in words is "six hundred eighty-seven million, five hundred thirty-eight thousand, three hundred sixty-eight".