6819456 has 128 divisors (see below), whose sum is σ = 21542400. Its totient is φ = 1870848.

The previous prime is 6819443. The next prime is 6819481. The reversal of 6819456 is 6549186.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115555 + ... + 115613.

It is an arithmetic number, because the mean of its divisors is an integer number (168300).

Almost surely, 2^6819456 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 6819456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10771200).

6819456 is an abundant number, since it is smaller than the sum of its proper divisors (14722944).

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

6819456 is a wasteful number, since it uses less digits than its factorization.

6819456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 114 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 6819456 is about 2611.4088151800. The cubic root of 6819456 is about 189.6341621578.

The spelling of 6819456 in words is "six million, eight hundred nineteen thousand, four hundred fifty-six".