2006784 has 108 divisors (see below), whose sum is σ = 6324136. Its totient is φ = 608256.

The previous prime is 2006783. The next prime is 2006791. The reversal of 2006784 is 4876002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006783) 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, 29919 + ... + 29985.

2^2006784 is an apocalyptic number.

2006784 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2006784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3162068).

2006784 is an abundant number, since it is smaller than the sum of its proper divisors (4317352).

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

2006784 is a wasteful number, since it uses less digits than its factorization.

2006784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2006784 is about 1416.6100380839. The cubic root of 2006784 is about 126.1343992965.

The spelling of 2006784 in words is "two million, six thousand, seven hundred eighty-four".