6730640 has 120 divisors (see below), whose sum is σ = 19465272. Its totient is φ = 2150400.

The previous prime is 6730637. The next prime is 6730663. The reversal of 6730640 is 460376.

It can be written as a sum of positive squares in 4 ways, for example, as 3211264 + 3519376 = 1792^2 + 1876^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66590 + ... + 66690.

Almost surely, 2^6730640 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 6730640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9732636).

6730640 is an abundant number, since it is smaller than the sum of its proper divisors (12734632).

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

6730640 is a wasteful number, since it uses less digits than its factorization.

6730640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 6730640 is about 2594.3477022173. The cubic root of 6730640 is about 188.8073024562.

The spelling of 6730640 in words is "six million, seven hundred thirty thousand, six hundred forty".