201883968 has 448 divisors, whose sum is σ = 751027200. Its totient is φ = 52254720.

The previous prime is 201883967. The next prime is 201883973. The reversal of 201883968 is 869388102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201883967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4694955 + ... + 4694997.

It is an arithmetic number, because the mean of its divisors is an integer number (1676400).

Almost surely, 2^201883968 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 201883968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375513600).

201883968 is an abundant number, since it is smaller than the sum of its proper divisors (549143232).

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

201883968 is a wasteful number, since it uses less digits than its factorization.

201883968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 201883968 is about 14208.5878256778. The cubic root of 201883968 is about 586.6340638448.

The spelling of 201883968 in words is "two hundred one million, eight hundred eighty-three thousand, nine hundred sixty-eight".