6438816 has 72 divisors (see below), whose sum is σ = 18607680. Its totient is φ = 2111616.

The previous prime is 6438799. The next prime is 6438829. The reversal of 6438816 is 6188346.

It is a happy number.

6438816 is a `hidden beast` number, since 643 + 8 + 8 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22611 + ... + 22893.

It is an arithmetic number, because the mean of its divisors is an integer number (258440).

Almost surely, 2^6438816 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 6438816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9303840).

6438816 is an abundant number, since it is smaller than the sum of its proper divisors (12168864).

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

6438816 is a wasteful number, since it uses less digits than its factorization.

6438816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 367 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 6438816 is about 2537.4822166865. The cubic root of 6438816 is about 186.0381468759.

The spelling of 6438816 in words is "six million, four hundred thirty-eight thousand, eight hundred sixteen".