6814880 has 48 divisors (see below), whose sum is σ = 16257024. Its totient is φ = 2699520.

The previous prime is 6814879. The next prime is 6814889. The reversal of 6814880 is 884186.

It is a self number, because there is not a number n which added to its sum of digits gives 6814880.

It is not an unprimeable number, because it can be changed into a prime (6814889) 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 7 ways as a sum of consecutive naturals, for example, 30449 + ... + 30671.

It is an arithmetic number, because the mean of its divisors is an integer number (338688).

Almost surely, 2^6814880 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 6814880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8128512).

6814880 is an abundant number, since it is smaller than the sum of its proper divisors (9442144).

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

6814880 is a wasteful number, since it uses less digits than its factorization.

6814880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 6814880 is about 2610.5325127261. The cubic root of 6814880 is about 189.5917364816.

The spelling of 6814880 in words is "six million, eight hundred fourteen thousand, eight hundred eighty".