687320064 has 264 divisors, whose sum is σ = 2172734928. Its totient is φ = 208404480.

The previous prime is 687320027. The next prime is 687320069. The reversal of 687320064 is 460023786.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (687320069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6423499 + ... + 6423605.

Almost surely, 2^687320064 is an apocalyptic number.

687320064 is a gapful number since it is divisible by the number (64) 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 687320064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086367464).

687320064 is an abundant number, since it is smaller than the sum of its proper divisors (1485414864).

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

687320064 is a wasteful number, since it uses less digits than its factorization.

687320064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 687320064 is about 26216.7897348245. The cubic root of 687320064 is about 882.5100787182.

The spelling of 687320064 in words is "six hundred eighty-seven million, three hundred twenty thousand, sixty-four".