6810016 has 24 divisors (see below), whose sum is σ = 13638240. Its totient is φ = 3346368.

The previous prime is 6809989. The next prime is 6810019. The reversal of 6810016 is 6100186.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (6810019) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 85 + ... + 3691.

It is an arithmetic number, because the mean of its divisors is an integer number (568260).

Almost surely, 2^6810016 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 6810016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6819120).

6810016 is an abundant number, since it is smaller than the sum of its proper divisors (6828224).

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

6810016 is a wasteful number, since it uses less digits than its factorization.

6810016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3676 (or 3668 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 6810016 is about 2609.6007357448. The cubic root of 6810016 is about 189.5466198306.

The spelling of 6810016 in words is "six million, eight hundred ten thousand, sixteen".