6635680 has 48 divisors (see below), whose sum is σ = 15936480. Its totient is φ = 2610432.

The previous prime is 6635677. The next prime is 6635683. The reversal of 6635680 is 865366.

6635680 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (6635677) and next prime (6635683).

It is not an unprimeable number, because it can be changed into a prime (6635683) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 10411 + ... + 11029.

It is an arithmetic number, because the mean of its divisors is an integer number (332010).

Almost surely, 2^6635680 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 6635680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7968240).

6635680 is an abundant number, since it is smaller than the sum of its proper divisors (9300800).

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

6635680 is a wasteful number, since it uses less digits than its factorization.

6635680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 6635680 is about 2575.9813663922. The cubic root of 6635680 is about 187.9151571296.

The spelling of 6635680 in words is "six million, six hundred thirty-five thousand, six hundred eighty".