6667944 has 64 divisors (see below), whose sum is σ = 18014400. Its totient is φ = 2049024.

The previous prime is 6667933. The next prime is 6667949. The reversal of 6667944 is 4497666.

It is a super-2 number, since 2×6667944² = 88922954374272, which contains 22 as substring.

It is a d-powerful number, because it can be written as 6³ + 6³ + 6⁸ + 7 + 9⁶ + 4⁹ + 4¹¹ .

It is a junction number, because it is equal to n+sod(n) for n = 6667896 and 6667905.

It is not an unprimeable number, because it can be changed into a prime (6667949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23934 + ... + 24210.

It is an arithmetic number, because the mean of its divisors is an integer number (281475).

Almost surely, 2^6667944 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 6667944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9007200).

6667944 is an abundant number, since it is smaller than the sum of its proper divisors (11346456).

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

6667944 is a wasteful number, since it uses less digits than its factorization.

6667944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 358 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 6667944 is about 2582.2362401608. The cubic root of 6667944 is about 188.2192251755.

The spelling of 6667944 in words is "six million, six hundred sixty-seven thousand, nine hundred forty-four".