6806016 has 120 divisors (see below), whose sum is σ = 22555104. Its totient is φ = 1935360.

The previous prime is 6805991. The next prime is 6806017. The reversal of 6806016 is 6106086.

It is not an unprimeable number, because it can be changed into a prime (6806017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32151 + ... + 32361.

Almost surely, 2^6806016 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 6806016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11277552).

6806016 is an abundant number, since it is smaller than the sum of its proper divisors (15749088).

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

6806016 is a wasteful number, since it uses less digits than its factorization.

6806016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 6806016 is about 2608.8342224066. The cubic root of 6806016 is about 189.5095012211.

The spelling of 6806016 in words is "six million, eight hundred six thousand, sixteen".