680610 has 48 divisors (see below), whose sum is σ = 1904256. Its totient is φ = 155232.

The previous prime is 680597. The next prime is 680611. The reversal of 680610 is 16086.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 7.

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 680610.

It is not an unprimeable number, because it can be changed into a prime (680611) by changing a digit.

680610 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1239 + ... + 1701.

It is an arithmetic number, because the mean of its divisors is an integer number (39672).

2⁶⁸⁰⁶¹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952128).

680610 is an abundant number, since it is smaller than the sum of its proper divisors (1223646).

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

680610 is a wasteful number, since it uses less digits than its factorization.

680610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 680610 is about 824.9909090408. The cubic root of 680610 is about 87.9628803501.

Adding to 680610 its reverse (16086), we get a palindrome (696696).

The spelling of 680610 in words is "six hundred eighty thousand, six hundred ten".