687986080 has 72 divisors (see below), whose sum is σ = 1645889868. Its totient is φ = 271761408.

The previous prime is 687986077. The next prime is 687986081. The reversal of 687986080 is 80689786.

It can be written as a sum of positive squares in 6 ways, for example, as 400480144 + 287505936 = 20012^2 + 16956^2 .

It is not an unprimeable number, because it can be changed into a prime (687986081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1505212 + ... + 1505668.

Almost surely, 2^687986080 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 687986080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822944934).

687986080 is an abundant number, since it is smaller than the sum of its proper divisors (957903788).

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

687986080 is an equidigital number, since it uses as much as digits as its factorization.

687986080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 52.

The square root of 687986080 is about 26229.4887483534. The cubic root of 687986080 is about 882.7950386741.

The spelling of 687986080 in words is "six hundred eighty-seven million, nine hundred eighty-six thousand, eighty".