200991744 has 132 divisors (see below), whose sum is σ = 588528876. Its totient is φ = 66060288.

The previous prime is 200991743. The next prime is 200991751. The reversal of 200991744 is 447199002.

It can be written as a sum of positive squares in 2 ways, for example, as 20358144 + 180633600 = 4512^2 + 13440^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 200991699 and 200991708.

It is not an unprimeable number, because it can be changed into a prime (200991743) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1041312 + ... + 1041504.

Almost surely, 2^200991744 is an apocalyptic number.

200991744 is a gapful number since it is divisible by the number (24) 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 200991744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294264438).

200991744 is an abundant number, since it is smaller than the sum of its proper divisors (387537132).

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

200991744 is a wasteful number, since it uses less digits than its factorization.

200991744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 200991744 is about 14177.1557090976. The cubic root of 200991744 is about 585.7685799702.

The spelling of 200991744 in words is "two hundred million, nine hundred ninety-one thousand, seven hundred forty-four".