687960504 has 288 divisors, whose sum is σ = 2427516000. Its totient is φ = 172085760.

The previous prime is 687960491. The next prime is 687960551. The reversal of 687960504 is 405069786.

687960504 is a `hidden beast` number, since 6 + 87 + 9 + 60 + 504 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 687960504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1768342 + ... + 1768730.

It is an arithmetic number, because the mean of its divisors is an integer number (8428875).

Almost surely, 2^687960504 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 687960504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213758000).

687960504 is an abundant number, since it is smaller than the sum of its proper divisors (1739555496).

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

687960504 is a wasteful number, since it uses less digits than its factorization.

687960504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 687960504 is about 26229.0012009607. The cubic root of 687960504 is about 882.7840991865.

It can be divided in two parts, 687 and 960504, that added together give a triangular number (961191 = T₁₃₈₆).

The spelling of 687960504 in words is "six hundred eighty-seven million, nine hundred sixty thousand, five hundred four".