201992960 has 144 divisors (see below), whose sum is σ = 532257600. Its totient is φ = 72990720.

The previous prime is 201992957. The next prime is 201993041. The reversal of 201992960 is 69299102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1014941 + ... + 1015139.

Almost surely, 2^201992960 is an apocalyptic number.

201992960 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 201992960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266128800).

201992960 is an abundant number, since it is smaller than the sum of its proper divisors (330264640).

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

201992960 is a wasteful number, since it uses less digits than its factorization.

201992960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 38.

The square root of 201992960 is about 14212.4227350582. The cubic root of 201992960 is about 586.7396144369.

The spelling of 201992960 in words is "two hundred one million, nine hundred ninety-two thousand, nine hundred sixty".