20816200 has 96 divisors (see below), whose sum is σ = 51949800. Its totient is φ = 7741440.

The previous prime is 20816179. The next prime is 20816207. The reversal of 20816200 is 261802.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 4186116 + 16630084 = 2046^2 + 4078^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20816207) 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 23 ways as a sum of consecutive naturals, for example, 214552 + ... + 214648.

Almost surely, 2^20816200 is an apocalyptic number.

20816200 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 20816200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25974900).

20816200 is an abundant number, since it is smaller than the sum of its proper divisors (31133600).

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

20816200 is a wasteful number, since it uses less digits than its factorization.

20816200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 20816200 is about 4562.4773972043. The cubic root of 20816200 is about 275.0851526934.

It can be divided in two parts, 2081 and 6200, that added together give a square (8281 = 91²).

The spelling of 20816200 in words is "twenty million, eight hundred sixteen thousand, two hundred".