681585984 has 84 divisors (see below), whose sum is σ = 1966347604. Its totient is φ = 225718272.

The previous prime is 681585929. The next prime is 681586019. The reversal of 681585984 is 489585186.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 245611584 + 435974400 = 15672^2 + 20880^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 681585984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86664 + ... + 94200.

Almost surely, 2^681585984 is an apocalyptic number.

681585984 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 681585984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983173802).

681585984 is an abundant number, since it is smaller than the sum of its proper divisors (1284761620).

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

681585984 is a wasteful number, since it uses less digits than its factorization.

681585984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7712 (or 7699 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 54.

The square root of 681585984 is about 26107.2017650303. The cubic root of 681585984 is about 880.0490606257.

The spelling of 681585984 in words is "six hundred eighty-one million, five hundred eighty-five thousand, nine hundred eighty-four".