201688992 has 72 divisors (see below), whose sum is σ = 576444960. Its totient is φ = 66890880.

The previous prime is 201688979. The next prime is 201689017. The reversal of 201688992 is 299886102.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59109 + ... + 62427.

It is an arithmetic number, because the mean of its divisors is an integer number (8006180).

Almost surely, 2^201688992 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 201688992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288222480).

201688992 is an abundant number, since it is smaller than the sum of its proper divisors (374755968).

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

201688992 is a wasteful number, since it uses less digits than its factorization.

201688992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3546 (or 3535 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 201688992 is about 14201.7249656512. The cubic root of 201688992 is about 586.4451493806.

The spelling of 201688992 in words is "two hundred one million, six hundred eighty-eight thousand, nine hundred ninety-two".