6913968 has 80 divisors (see below), whose sum is σ = 19507680. Its totient is φ = 2101248.

The previous prime is 6913957. The next prime is 6913969. The reversal of 6913968 is 8693196.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

Its product of digits (69984) is a multiple of the sum of its prime divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6913969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30078 + ... + 30306.

It is an arithmetic number, because the mean of its divisors is an integer number (243846).

Almost surely, 2^6913968 is an apocalyptic number.

6913968 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 6913968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9753840).

6913968 is an abundant number, since it is smaller than the sum of its proper divisors (12593712).

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

6913968 is a wasteful number, since it uses less digits than its factorization.

6913968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 288 counting only the distinct ones).

The product of its digits is 69984, while the sum is 42.

The square root of 6913968 is about 2629.4425264683. The cubic root of 6913968 is about 190.5062032549.

The spelling of 6913968 in words is "six million, nine hundred thirteen thousand, nine hundred sixty-eight".