2006800 has 60 divisors (see below), whose sum is σ = 5016420. Its totient is φ = 770560.

The previous prime is 2006791. The next prime is 2006813. The reversal of 2006800 is 86002.

It can be written as a sum of positive squares in 6 ways, for example, as 24336 + 1982464 = 156^2 + 1408^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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 11 ways as a sum of consecutive naturals, for example, 11514 + ... + 11686.

It is an arithmetic number, because the mean of its divisors is an integer number (83607).

2^2006800 is an apocalyptic number.

2006800 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 2006800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2508210).

2006800 is an abundant number, since it is smaller than the sum of its proper divisors (3009620).

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

2006800 is a wasteful number, since it uses less digits than its factorization.

2006800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2006800 is about 1416.6156853572. The cubic root of 2006800 is about 126.1347345169.

The spelling of 2006800 in words is "two million, six thousand, eight hundred".