6681600 has 198 divisors, whose sum is σ = 24748230. Its totient is φ = 1720320.

The previous prime is 6681589. The next prime is 6681637. The reversal of 6681600 is 61866.

It can be written as a sum of positive squares in 3 ways, for example, as 451584 + 6230016 = 672^2 + 2496^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 230386 + ... + 230414.

Almost surely, 2^6681600 is an apocalyptic number.

6681600 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 6681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12374115).

6681600 is an abundant number, since it is smaller than the sum of its proper divisors (18066630).

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

6681600 is a wasteful number, since it uses less digits than its factorization.

6681600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 6681600 is about 2584.8791074246. The cubic root of 6681600 is about 188.3476290260.

The spelling of 6681600 in words is "six million, six hundred eighty-one thousand, six hundred".