6822816 has 192 divisors, whose sum is σ = 24385536. Its totient is φ = 1612800.

The previous prime is 6822793. The next prime is 6822817. The reversal of 6822816 is 6182286.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6822817) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96061 + ... + 96131.

It is an arithmetic number, because the mean of its divisors is an integer number (127008).

Almost surely, 2^6822816 is an apocalyptic number.

6822816 is a gapful number since it is divisible by the number (66) 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 6822816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12192768).

6822816 is an abundant number, since it is smaller than the sum of its proper divisors (17562720).

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

6822816 is a wasteful number, since it uses less digits than its factorization.

6822816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 107 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 6822816 is about 2612.0520668624. The cubic root of 6822816 is about 189.6653017955.

The spelling of 6822816 in words is "six million, eight hundred twenty-two thousand, eight hundred sixteen".