201891768 has 64 divisors (see below), whose sum is σ = 550502400. Its totient is φ = 61326720.

The previous prime is 201891737. The next prime is 201891797. The reversal of 201891768 is 867198102.

201891768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 20553 + ... + 28743.

It is an arithmetic number, because the mean of its divisors is an integer number (8601600).

Almost surely, 2^201891768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201891768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275251200).

201891768 is an abundant number, since it is smaller than the sum of its proper divisors (348610632).

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

201891768 is a wasteful number, since it uses less digits than its factorization.

201891768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8292 (or 8288 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 42.

The square root of 201891768 is about 14208.8623049138. The cubic root of 201891768 is about 586.6416188227.

The spelling of 201891768 in words is "two hundred one million, eight hundred ninety-one thousand, seven hundred sixty-eight".