200953116 has 288 divisors, whose sum is σ = 686407680. Its totient is φ = 50295168.

The previous prime is 200953091. The next prime is 200953117. The reversal of 200953116 is 611359002.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 200953116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200953117) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1582245 + ... + 1582371.

It is an arithmetic number, because the mean of its divisors is an integer number (2383360).

Almost surely, 2^200953116 is an apocalyptic number.

200953116 is a gapful number since it is divisible by the number (26) 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 200953116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343203840).

200953116 is an abundant number, since it is smaller than the sum of its proper divisors (485454564).

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

200953116 is a wasteful number, since it uses less digits than its factorization.

200953116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 200953116 is about 14175.7933111343. The cubic root of 200953116 is about 585.7310518642.

The spelling of 200953116 in words is "two hundred million, nine hundred fifty-three thousand, one hundred sixteen".