201998976 has 128 divisors (see below), whose sum is σ = 564019200. Its totient is φ = 63974400.

The previous prime is 201998969. The next prime is 201998989. The reversal of 201998976 is 679899102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 845065 + ... + 845303.

It is an arithmetic number, because the mean of its divisors is an integer number (4406400).

Almost surely, 2^201998976 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 201998976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282009600).

201998976 is an abundant number, since it is smaller than the sum of its proper divisors (362020224).

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

201998976 is a wasteful number, since it uses less digits than its factorization.

201998976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 51.

The square root of 201998976 is about 14212.6343793120. The cubic root of 201998976 is about 586.7454393767.

The spelling of 201998976 in words is "two hundred one million, nine hundred ninety-eight thousand, nine hundred seventy-six".