680580 has 72 divisors (see below), whose sum is σ = 2184000. Its totient is φ = 171072.

The previous prime is 680569. The next prime is 680587. The reversal of 680580 is 85086.

680580 = T₁₃₁ + T₁₃₂ + ... + T₁₈₄.

680580 is a `hidden beast` number, since 6 + 80 + 580 = 666.

It is a super-3 number, since 3×680580³ = 945711787353336000, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (680587) by changing a digit.

680580 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 23 ways as a sum of consecutive naturals, for example, 3321 + ... + 3519.

2⁶⁸⁰⁵⁸⁰ is an apocalyptic number.

680580 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092000).

680580 is an abundant number, since it is smaller than the sum of its proper divisors (1503420).

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

680580 is a wasteful number, since it uses less digits than its factorization.

680580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 680580 is about 824.9727268219. The cubic root of 680580 is about 87.9615879187.

The spelling of 680580 in words is "six hundred eighty thousand, five hundred eighty".