201271600 has 60 divisors (see below), whose sum is σ = 500258160. Its totient is φ = 77728000.

The previous prime is 201271529. The next prime is 201271607. The reversal of 201271600 is 6172102.

201271600 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 not an unprimeable number, because it can be changed into a prime (201271607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2925 + ... + 20275.

It is an arithmetic number, because the mean of its divisors is an integer number (8337636).

Almost surely, 2^201271600 is an apocalyptic number.

201271600 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 201271600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250129080).

201271600 is an abundant number, since it is smaller than the sum of its proper divisors (298986560).

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

201271600 is a wasteful number, since it uses less digits than its factorization.

201271600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17398 (or 17387 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 201271600 is about 14187.0222386518. The cubic root of 201271600 is about 586.0403238452.

The spelling of 201271600 in words is "two hundred one million, two hundred seventy-one thousand, six hundred".