6278816 has 48 divisors (see below), whose sum is σ = 13608000. Its totient is φ = 2838528.

The previous prime is 6278813. The next prime is 6278821. The reversal of 6278816 is 6188726.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 6278816.

It is not an unprimeable number, because it can be changed into a prime (6278813) 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, 13760 + ... + 14208.

It is an arithmetic number, because the mean of its divisors is an integer number (283500).

Almost surely, 2^6278816 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 6278816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6804000).

6278816 is an abundant number, since it is smaller than the sum of its proper divisors (7329184).

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

6278816 is a wasteful number, since it uses less digits than its factorization.

6278816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 493 counting only the distinct ones).

The product of its digits is 32256, while the sum is 38.

The square root of 6278816 is about 2505.7565723749. The cubic root of 6278816 is about 184.4842317784.

The spelling of 6278816 in words is "six million, two hundred seventy-eight thousand, eight hundred sixteen".