6721344 has 84 divisors (see below), whose sum is σ = 22030944. Its totient is φ = 1919232.

The previous prime is 6721343. The next prime is 6721361. The reversal of 6721344 is 4431276.

It is a tau number, because it is divible by the number of its divisors (84).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6721343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3199 + ... + 4865.

Almost surely, 2^6721344 is an apocalyptic number.

6721344 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 6721344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11015472).

6721344 is an abundant number, since it is smaller than the sum of its proper divisors (15309600).

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

6721344 is a wasteful number, since it uses less digits than its factorization.

6721344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1692 (or 1679 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 6721344 is about 2592.5554960309. Note that the first 3 decimals coincide. The cubic root of 6721344 is about 188.7203388913.

It can be divided in two parts, 672 and 1344, that added together give a triangular number (2016 = T₆₃).

The spelling of 6721344 in words is "six million, seven hundred twenty-one thousand, three hundred forty-four".