680559 has 16 divisors (see below), whose sum is σ = 1016064. Its totient is φ = 401600.

The previous prime is 680539. The next prime is 680567. The reversal of 680559 is 955086.

It is a cyclic number.

It is not a de Polignac number, because 680559 - 2⁷ = 680431 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680509) 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 15 ways as a sum of consecutive naturals, for example, 1102 + ... + 1604.

It is an arithmetic number, because the mean of its divisors is an integer number (63504).

2⁶⁸⁰⁵⁵⁹ is an apocalyptic number.

680559 is a deficient number, since it is larger than the sum of its proper divisors (335505).

680559 is a wasteful number, since it uses less digits than its factorization.

680559 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558.

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 680559 is about 824.9599990303. The cubic root of 680559 is about 87.9606831942.

The spelling of 680559 in words is "six hundred eighty thousand, five hundred fifty-nine".