200840960 has 144 divisors (see below), whose sum is σ = 509937120. Its totient is φ = 75694080.

The previous prime is 200840957. The next prime is 200840977. The reversal of 200840960 is 69048002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2256596 + ... + 2256684.

It is an arithmetic number, because the mean of its divisors is an integer number (3541230).

Almost surely, 2^200840960 is an apocalyptic number.

200840960 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 200840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254968560).

200840960 is an abundant number, since it is smaller than the sum of its proper divisors (309096160).

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

200840960 is an equidigital number, since it uses as much as digits as its factorization.

200840960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 200840960 is about 14171.8368604779. The cubic root of 200840960 is about 585.6220621348.

Adding to 200840960 its reverse (69048002), we get a palindrome (269888962).

The spelling of 200840960 in words is "two hundred million, eight hundred forty thousand, nine hundred sixty".