200853120 has 192 divisors, whose sum is σ = 694375200. Its totient is φ = 49360896.

The previous prime is 200853109. The next prime is 200853151. The reversal of 200853120 is 21358002.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 324171 + ... + 324789.

Almost surely, 2^200853120 is an apocalyptic number.

200853120 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 200853120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347187600).

200853120 is an abundant number, since it is smaller than the sum of its proper divisors (493522080).

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

200853120 is a wasteful number, since it uses less digits than its factorization.

200853120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 200853120 is about 14172.2658738820. The cubic root of 200853120 is about 585.6338808072.

The spelling of 200853120 in words is "two hundred million, eight hundred fifty-three thousand, one hundred twenty".