687456020 has 48 divisors (see below), whose sum is σ = 1529917200. Its totient is φ = 259015680.

The previous prime is 687456017. The next prime is 687456037. The reversal of 687456020 is 20654786.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 806404 + 686649616 = 898^2 + 26204^2 .

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 15 ways as a sum of consecutive naturals, for example, 9326 + ... + 38234.

It is an arithmetic number, because the mean of its divisors is an integer number (31873275).

Almost surely, 2^687456020 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 687456020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764958600).

687456020 is an abundant number, since it is smaller than the sum of its proper divisors (842461180).

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

687456020 is a wasteful number, since it uses less digits than its factorization.

687456020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28988 (or 28986 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 687456020 is about 26219.3825251473. The cubic root of 687456020 is about 882.5682634642.

The spelling of 687456020 in words is "six hundred eighty-seven million, four hundred fifty-six thousand, twenty".