6810240 has 64 divisors (see below), whose sum is σ = 21713760. Its totient is φ = 1815552.

The previous prime is 6810203. The next prime is 6810247. The reversal of 6810240 is 420186.

6810240 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (6810247) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 147 + ... + 3693.

Almost surely, 2^6810240 is an apocalyptic number.

6810240 is a gapful number since it is divisible by the number (60) 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 6810240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10856880).

6810240 is an abundant number, since it is smaller than the sum of its proper divisors (14903520).

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

6810240 is a wasteful number, since it uses less digits than its factorization.

6810240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3569 (or 3557 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 6810240 is about 2609.6436538348. The cubic root of 6810240 is about 189.5486980429.

The spelling of 6810240 in words is "six million, eight hundred ten thousand, two hundred forty".