6815040 has 112 divisors (see below), whose sum is σ = 22433280. Its totient is φ = 1751040.

The previous prime is 6815033. The next prime is 6815041. The reversal of 6815040 is 405186.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 6815040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6815041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29646 + ... + 29874.

Almost surely, 2^6815040 is an apocalyptic number.

6815040 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 6815040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11216640).

6815040 is an abundant number, since it is smaller than the sum of its proper divisors (15618240).

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

6815040 is a wasteful number, since it uses less digits than its factorization.

6815040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 6815040 is about 2610.5631576348. The cubic root of 6815040 is about 189.5932202173.

The spelling of 6815040 in words is "six million, eight hundred fifteen thousand, forty".