6681136 has 120 divisors (see below), whose sum is σ = 17811360. Its totient is φ = 2365440.

The previous prime is 6681133. The next prime is 6681137. The reversal of 6681136 is 6311866.

It is a junction number, because it is equal to n+sod(n) for n = 6681098 and 6681107.

It is not an unprimeable number, because it can be changed into a prime (6681133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230370 + ... + 230398.

It is an arithmetic number, because the mean of its divisors is an integer number (148428).

Almost surely, 2^6681136 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 6681136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8905680).

6681136 is an abundant number, since it is smaller than the sum of its proper divisors (11130224).

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

6681136 is a wasteful number, since it uses less digits than its factorization.

6681136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 66 counting only the distinct ones).

The product of its digits is 5184, while the sum is 31.

The square root of 6681136 is about 2584.7893531195. The cubic root of 6681136 is about 188.3432690262.

The spelling of 6681136 in words is "six million, six hundred eighty-one thousand, one hundred thirty-six".