200712960 has 432 divisors, whose sum is σ = 841800960. Its totient is φ = 43130880.

The previous prime is 200712899. The next prime is 200712977. The reversal of 200712960 is 69217002.

200712960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 1532095 + ... + 1532225.

Almost surely, 2^200712960 is an apocalyptic number.

200712960 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 200712960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420900480).

200712960 is an abundant number, since it is smaller than the sum of its proper divisors (641088000).

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

200712960 is a wasteful number, since it uses less digits than its factorization.

200712960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 200712960 is about 14167.3201417911. The cubic root of 200712960 is about 585.4976261067.

Adding to 200712960 its reverse (69217002), we get a palindrome (269929962).

The spelling of 200712960 in words is "two hundred million, seven hundred twelve thousand, nine hundred sixty".