2006816 has 72 divisors (see below), whose sum is σ = 4951296. Its totient is φ = 783360.

The previous prime is 2006813. The next prime is 2006831. The reversal of 2006816 is 6186002.

It is a junction number, because it is equal to n+sod(n) for n = 2006791 and 2006800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006813) by changing a digit.

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, 64721 + ... + 64751.

It is an arithmetic number, because the mean of its divisors is an integer number (68768).

2^2006816 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 2006816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2475648).

2006816 is an abundant number, since it is smaller than the sum of its proper divisors (2944480).

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

2006816 is a wasteful number, since it uses less digits than its factorization.

2006816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 2006816 is about 1416.6213326080. The cubic root of 2006816 is about 126.1350697356.

The spelling of 2006816 in words is "two million, six thousand, eight hundred sixteen".