6607968 has 48 divisors (see below), whose sum is σ = 18370800. Its totient is φ = 2072576.

The previous prime is 6607967. The next prime is 6607981. The reversal of 6607968 is 8697066.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6607961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 393 + ... + 3656.

It is an arithmetic number, because the mean of its divisors is an integer number (382725).

Almost surely, 2^6607968 is an apocalyptic number.

6607968 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6607968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9185400).

6607968 is an abundant number, since it is smaller than the sum of its proper divisors (11762832).

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

6607968 is a wasteful number, since it uses less digits than its factorization.

6607968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4079 (or 4071 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 6607968 is about 2570.5968178616. The cubic root of 6607968 is about 187.6532010119.

The spelling of 6607968 in words is "six million, six hundred seven thousand, nine hundred sixty-eight".