681584 has 20 divisors (see below), whose sum is σ = 1354080. Its totient is φ = 332160.

The previous prime is 681563. The next prime is 681589. The reversal of 681584 is 485186.

It is a self number, because there is not a number n which added to its sum of digits gives 681584.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 681584.

It is not an unprimeable number, because it can be changed into a prime (681589) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 137 + ... + 1175.

It is an arithmetic number, because the mean of its divisors is an integer number (67704).

2⁶⁸¹⁵⁸⁴ is an apocalyptic number.

It is an amenable number.

681584 is a deficient number, since it is larger than the sum of its proper divisors (672496).

681584 is a wasteful number, since it uses less digits than its factorization.

681584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1082 counting only the distinct ones).

The product of its digits is 7680, while the sum is 32.

The square root of 681584 is about 825.5810075335. The cubic root of 681584 is about 88.0048206726.

The spelling of 681584 in words is "six hundred eighty-one thousand, five hundred eighty-four".