6822120 has 64 divisors (see below), whose sum is σ = 20664000. Its totient is φ = 1801728.

The previous prime is 6822091. The next prime is 6822131. The reversal of 6822120 is 212286.

6822120 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16476 + ... + 16884.

It is an arithmetic number, because the mean of its divisors is an integer number (322875).

Almost surely, 2^6822120 is an apocalyptic number.

6822120 is a gapful number since it is divisible by the number (60) 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 6822120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10332000).

6822120 is an abundant number, since it is smaller than the sum of its proper divisors (13841880).

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

6822120 is a wasteful number, since it uses less digits than its factorization.

6822120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 6822120 is about 2611.9188348798. The cubic root of 6822120 is about 189.6588522816.

The spelling of 6822120 in words is "six million, eight hundred twenty-two thousand, one hundred twenty".