687582590436 has 135 divisors (see below), whose sum is σ = 2091260067897. Its totient is φ = 196422317280.

The previous prime is 687582590389. The next prime is 687582590459. The reversal of 687582590436 is 634095285786.

It is a happy number.

The square root of 687582590436 is 829206.

It is a perfect power (a square), and thus also a powerful number.

687582590436 is a `hidden beast` number, since 6 + 8 + 7 + 5 + 8 + 2 + 590 + 4 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 164506492836 + 523076097600 = 405594^2 + 723240^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 104476666 + ... + 104483246.

Almost surely, 2^687582590436 is an apocalyptic number.

687582590436 is the 829206-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 687582590436

687582590436 is an abundant number, since it is smaller than the sum of its proper divisors (1403677477461).

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

687582590436 is an frugal number, since it uses more digits than its factorization.

With its predecessor (687582590435) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (13192).

687582590436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13192 (or 6593 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 687582590436 in words is "six hundred eighty-seven billion, five hundred eighty-two million, five hundred ninety thousand, four hundred thirty-six".