200840000 has 70 divisors (see below), whose sum is σ = 498117114. Its totient is φ = 80320000.

The previous prime is 200839987. The next prime is 200840011. The reversal of 200840000 is 48002.

It can be written as a sum of positive squares in 5 ways, for example, as 36385024 + 164454976 = 6032^2 + 12824^2 .

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 9 ways as a sum of consecutive naturals, for example, 37490 + ... + 42510.

Almost surely, 2^200840000 is an apocalyptic number.

200840000 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 200840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249058557).

200840000 is an abundant number, since it is smaller than the sum of its proper divisors (297277114).

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

200840000 is an frugal number, since it uses more digits than its factorization.

200840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5053 (or 5028 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 200840000 is about 14171.8029904455. The cubic root of 200840000 is about 585.6211290614.

Adding to 200840000 its reverse (48002), we get a palindrome (200888002).

The spelling of 200840000 in words is "two hundred million, eight hundred forty thousand".