6822144 has 180 divisors, whose sum is σ = 23743104. Its totient is φ = 1907712.

The previous prime is 6822143. The next prime is 6822161. The reversal of 6822144 is 4412286.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (6822143) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 145129 + ... + 145175.

Almost surely, 2^6822144 is an apocalyptic number.

6822144 is a gapful number since it is divisible by the number (64) 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 6822144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11871552).

6822144 is an abundant number, since it is smaller than the sum of its proper divisors (16920960).

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

6822144 is an equidigital number, since it uses as much as digits as its factorization.

6822144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 59 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 6822144 is about 2611.9234291993. The cubic root of 6822144 is about 189.6590746859.

It can be divided in two parts, 68221 and 44, that added together give a triangular number (68265 = T₃₆₉).

The spelling of 6822144 in words is "six million, eight hundred twenty-two thousand, one hundred forty-four".