6730240 has 80 divisors (see below), whose sum is σ = 17677440. Its totient is φ = 2437120.

The previous prime is 6730211. The next prime is 6730253. The reversal of 6730240 is 420376.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×6730240² = 90592260915200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a d-powerful number, because it can be written as 6⁸ + 7⁷ + 3² + 0 + 2¹⁵ + 4¹¹ + 0 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28041 + ... + 28279.

It is an arithmetic number, because the mean of its divisors is an integer number (220968).

Almost surely, 2^6730240 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 6730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8838720).

6730240 is an abundant number, since it is smaller than the sum of its proper divisors (10947200).

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

6730240 is a wasteful number, since it uses less digits than its factorization.

6730240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 6730240 is about 2594.2706104029. The cubic root of 6730240 is about 188.8035621276.

The spelling of 6730240 in words is "six million, seven hundred thirty thousand, two hundred forty".