6680100 has 72 divisors (see below), whose sum is σ = 22095808. Its totient is φ = 1526400.

The previous prime is 6680087. The next prime is 6680111. The reversal of 6680100 is 10866.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 510 + ... + 3690.

Almost surely, 2^6680100 is an apocalyptic number.

6680100 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 6680100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11047904).

6680100 is an abundant number, since it is smaller than the sum of its proper divisors (15415708).

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

6680100 is a wasteful number, since it uses less digits than its factorization.

6680100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3205 (or 3198 counting only the distinct ones).

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

The square root of 6680100 is about 2584.5889421724. The cubic root of 6680100 is about 188.3335334706. Note that the first 3 decimals are identical.

Adding to 6680100 its reverse (10866), we get a palindrome (6690966).

The spelling of 6680100 in words is "six million, six hundred eighty thousand, one hundred".