680100 has 36 divisors (see below), whose sum is σ = 1968624. Its totient is φ = 181280.

The previous prime is 680083. The next prime is 680107. The reversal of 680100 is 1086.

680100 = T₆₃ + T₆₄ + ... + T₁₆₂.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 680100.

It is not an unprimeable number, because it can be changed into a prime (680107) by changing a digit.

680100 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 11 ways as a sum of consecutive naturals, for example, 834 + ... + 1433.

It is an arithmetic number, because the mean of its divisors is an integer number (54684).

2⁶⁸⁰¹⁰⁰ is an apocalyptic number.

680100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

680100 is an abundant number, since it is smaller than the sum of its proper divisors (1288524).

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

680100 is a wasteful number, since it uses less digits than its factorization.

680100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2284 (or 2277 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 680100 is about 824.6817568008. The cubic root of 680100 is about 87.9409038492.

Adding to 680100 its reverse (1086), we get a palindrome (681186).

It can be divided in two parts, 680 and 100, that added together give a triangular number (780 = T₃₉).

The spelling of 680100 in words is "six hundred eighty thousand, one hundred".