680624 has 40 divisors (see below), whose sum is σ = 1547520. Its totient is φ = 283968.

The previous prime is 680623. The next prime is 680633. The reversal of 680624 is 426086.

It is a Cunningham number, because it is equal to 825²-1.

It is a nialpdrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 680593 and 680602.

It is not an unprimeable number, because it can be changed into a prime (680623) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6557 + ... + 6659.

It is an arithmetic number, because the mean of its divisors is an integer number (38688).

2⁶⁸⁰⁶²⁴ 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 680624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773760).

680624 is an abundant number, since it is smaller than the sum of its proper divisors (866896).

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

680624 is a wasteful number, since it uses less digits than its factorization.

680624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 680624 is about 824.9993939392. Note that the first 3 decimals coincide. The cubic root of 680624 is about 87.9634834718.

The spelling of 680624 in words is "six hundred eighty thousand, six hundred twenty-four".