680592 has 40 divisors (see below), whose sum is σ = 1919520. Its totient is φ = 206080.

The previous prime is 680587. The next prime is 680597. The reversal of 680592 is 295086.

It is an interprime number because it is at equal distance from previous prime (680587) and next prime (680597).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 680592.

It is not an unprimeable number, because it can be changed into a prime (680597) by changing a digit.

680592 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117 + ... + 1172.

It is an arithmetic number, because the mean of its divisors is an integer number (47988).

2⁶⁸⁰⁵⁹² 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 680592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959760).

680592 is an abundant number, since it is smaller than the sum of its proper divisors (1238928).

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

680592 is a wasteful number, since it uses less digits than its factorization.

680592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 680592 is about 824.9799997576. The cubic root of 680592 is about 87.9621048958.

The spelling of 680592 in words is "six hundred eighty thousand, five hundred ninety-two".