6724000 has 72 divisors (see below), whose sum is σ = 16933644. Its totient is φ = 2624000.

The previous prime is 6723979. The next prime is 6724007. The reversal of 6724000 is 4276.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

6724000 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 6 ways, for example, as 944784 + 5779216 = 972^2 + 2404^2 .

It is not an unprimeable number, because it can be changed into a prime (6724007) 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, 163980 + ... + 164020.

Almost surely, 2^6724000 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 6724000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8466822).

6724000 is an abundant number, since it is smaller than the sum of its proper divisors (10209644).

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

6724000 is an equidigital number, since it uses as much as digits as its factorization.

6724000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 6724000 is about 2593.0676813381. The cubic root of 6724000 is about 188.7451938019.

Adding to 6724000 its reverse (4276), we get a palindrome (6728276).

The spelling of 6724000 in words is "six million, seven hundred twenty-four thousand".