2006320 has 40 divisors (see below), whose sum is σ = 4821120. Its totient is φ = 775680.

The previous prime is 2006317. The next prime is 2006339. The reversal of 2006320 is 236002.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 2006320.

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 7 ways as a sum of consecutive naturals, for example, 2076 + ... + 2884.

It is an arithmetic number, because the mean of its divisors is an integer number (120528).

2^2006320 is an apocalyptic number.

2006320 is a gapful number since it is divisible by the number (20) 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 2006320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410560).

2006320 is an abundant number, since it is smaller than the sum of its proper divisors (2814800).

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

2006320 is a wasteful number, since it uses less digits than its factorization.

2006320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 2006320 is about 1416.4462573638. The cubic root of 2006320 is about 126.1246771287.

The spelling of 2006320 in words is "two million, six thousand, three hundred twenty".