680680 has 128 divisors (see below), whose sum is σ = 2177280. Its totient is φ = 184320.

The previous prime is 680657. The next prime is 680681. The reversal of 680680 is 86086.

680680 = T₁₁₁ + T₁₁₂ + ... + T₁₇₅.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nialpdrome in base 7.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (680681) by changing a digit.

680680 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 31 ways as a sum of consecutive naturals, for example, 40032 + ... + 40048.

It is an arithmetic number, because the mean of its divisors is an integer number (17010).

2⁶⁸⁰⁶⁸⁰ 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 680680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088640).

680680 is an abundant number, since it is smaller than the sum of its proper divisors (1496600).

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

680680 is a wasteful number, since it uses less digits than its factorization.

680680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 680680 is about 825.0333326600. The cubic root of 680680 is about 87.9658958757.

680680 divided by its sum of digits (28) gives a triangular number (24310 = T₂₂₀).

It can be divided in two parts, 6806 and 80, that added together give a palindrome (6886).

The spelling of 680680 in words is "six hundred eighty thousand, six hundred eighty".