6813456 has 80 divisors (see below), whose sum is σ = 19373760. Its totient is φ = 2050560.

The previous prime is 6813409. The next prime is 6813473. The reversal of 6813456 is 6543186.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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, 37975 + ... + 38153.

It is an arithmetic number, because the mean of its divisors is an integer number (242172).

Almost surely, 2^6813456 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 6813456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9686880).

6813456 is an abundant number, since it is smaller than the sum of its proper divisors (12560304).

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

6813456 is a wasteful number, since it uses less digits than its factorization.

6813456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 258 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 6813456 is about 2610.2597571889. The cubic root of 6813456 is about 189.5785302115.

The spelling of 6813456 in words is "six million, eight hundred thirteen thousand, four hundred fifty-six".