6844480 has 56 divisors (see below), whose sum is σ = 16578072. Its totient is φ = 2691072.

The previous prime is 6844477. The next prime is 6844483. The reversal of 6844480 is 844486.

It is an interprime number because it is at equal distance from previous prime (6844477) and next prime (6844483).

It can be written as a sum of positive squares in 4 ways, for example, as 2383936 + 4460544 = 1544^2 + 2112^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6844483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23214 + ... + 23506.

It is an arithmetic number, because the mean of its divisors is an integer number (296037).

Almost surely, 2^6844480 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 6844480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8289036).

6844480 is an abundant number, since it is smaller than the sum of its proper divisors (9733592).

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

6844480 is a wasteful number, since it uses less digits than its factorization.

6844480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 6844480 is about 2616.1957113335. The cubic root of 6844480 is about 189.8658332595.

The spelling of 6844480 in words is "six million, eight hundred forty-four thousand, four hundred eighty".