687815504 has 80 divisors (see below), whose sum is σ = 1476096000. Its totient is φ = 309173760.

The previous prime is 687815473. The next prime is 687815509. The reversal of 687815504 is 405518786.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687815509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 537137 + ... + 538415.

It is an arithmetic number, because the mean of its divisors is an integer number (18451200).

Almost surely, 2^687815504 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 687815504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738048000).

687815504 is an abundant number, since it is smaller than the sum of its proper divisors (788280496).

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

687815504 is a wasteful number, since it uses less digits than its factorization.

687815504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 44.

The square root of 687815504 is about 26226.2369393705. The cubic root of 687815504 is about 882.7220739744.

The spelling of 687815504 in words is "six hundred eighty-seven million, eight hundred fifteen thousand, five hundred four".