687840360 has 192 divisors, whose sum is σ = 2188166400. Its totient is φ = 172882944.

The previous prime is 687840359. The next prime is 687840389. The reversal of 687840360 is 63048786.

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 47 ways as a sum of consecutive naturals, for example, 8706801 + ... + 8706879.

It is an arithmetic number, because the mean of its divisors is an integer number (11396700).

Almost surely, 2^687840360 is an apocalyptic number.

687840360 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 687840360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094083200).

687840360 is an abundant number, since it is smaller than the sum of its proper divisors (1500326040).

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

687840360 is a wasteful number, since it uses less digits than its factorization.

687840360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 687840360 is about 26226.7108116897. The cubic root of 687840360 is about 882.7327069981.

The spelling of 687840360 in words is "six hundred eighty-seven million, eight hundred forty thousand, three hundred sixty".