687663960 has 128 divisors (see below), whose sum is σ = 2184019200. Its totient is φ = 172730880.

The previous prime is 687663937. The next prime is 687663971. The reversal of 687663960 is 69366786.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 448395 + ... + 449925.

It is an arithmetic number, because the mean of its divisors is an integer number (17062650).

Almost surely, 2^687663960 is an apocalyptic number.

687663960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 687663960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092009600).

687663960 is an abundant number, since it is smaller than the sum of its proper divisors (1496355240).

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

687663960 is a wasteful number, since it uses less digits than its factorization.

687663960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1761 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The square root of 687663960 is about 26223.3476123854. The cubic root of 687663960 is about 882.6572401835.

The spelling of 687663960 in words is "six hundred eighty-seven million, six hundred sixty-three thousand, nine hundred sixty".