6627968 has 32 divisors (see below), whose sum is σ = 13467060. Its totient is φ = 3248128.

The previous prime is 6627949. The next prime is 6627989. The reversal of 6627968 is 8697266.

It can be written as a sum of positive squares in 2 ways, for example, as 5721664 + 906304 = 2392^2 + 952^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 6296 + ... + 7272.

Almost surely, 2^6627968 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 6627968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6733530).

6627968 is an abundant number, since it is smaller than the sum of its proper divisors (6839092).

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

6627968 is an equidigital number, since it uses as much as digits as its factorization.

6627968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1032 counting only the distinct ones).

The product of its digits is 217728, while the sum is 44.

The square root of 6627968 is about 2574.4840259749. The cubic root of 6627968 is about 187.8423304574.

The spelling of 6627968 in words is "six million, six hundred twenty-seven thousand, nine hundred sixty-eight".