6823968 has 48 divisors (see below), whose sum is σ = 18498816. Its totient is φ = 2200320.

The previous prime is 6823963. The next prime is 6823991. The reversal of 6823968 is 8693286.

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 (6823963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1830 + ... + 4122.

It is an arithmetic number, because the mean of its divisors is an integer number (385392).

Almost surely, 2^6823968 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 6823968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9249408).

6823968 is an abundant number, since it is smaller than the sum of its proper divisors (11674848).

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

6823968 is a wasteful number, since it uses less digits than its factorization.

6823968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2337 (or 2329 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 6823968 is about 2612.2725738330. The cubic root of 6823968 is about 189.6759758891.

The spelling of 6823968 in words is "six million, eight hundred twenty-three thousand, nine hundred sixty-eight".