6738966 has 48 divisors (see below), whose sum is σ = 16248960. Its totient is φ = 2004480.

The previous prime is 6738961. The next prime is 6738971. The reversal of 6738966 is 6698376.

It is an interprime number because it is at equal distance from previous prime (6738961) and next prime (6738971).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6738961) 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, 6790 + ... + 7718.

It is an arithmetic number, because the mean of its divisors is an integer number (338520).

Almost surely, 2^6738966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6738966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8124480).

6738966 is an abundant number, since it is smaller than the sum of its proper divisors (9509994).

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

6738966 is a wasteful number, since it uses less digits than its factorization.

6738966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 978 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 6738966 is about 2595.9518485519. The cubic root of 6738966 is about 188.8851237748.

The spelling of 6738966 in words is "six million, seven hundred thirty-eight thousand, nine hundred sixty-six".