687912960 has 288 divisors, whose sum is σ = 2565697680. Its totient is φ = 156893184.

The previous prime is 687912941. The next prime is 687912977. The reversal of 687912960 is 69219786.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1505052 + ... + 1505508.

Almost surely, 2^687912960 is an apocalyptic number.

687912960 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 687912960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282848840).

687912960 is an abundant number, since it is smaller than the sum of its proper divisors (1877784720).

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

687912960 is a wasteful number, since it uses less digits than its factorization.

687912960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 687912960 is about 26228.0948602829. The cubic root of 687912960 is about 882.7637627215.

The spelling of 687912960 in words is "six hundred eighty-seven million, nine hundred twelve thousand, nine hundred sixty".