201888 has 36 divisors (see below), whose sum is σ = 574938. Its totient is φ = 67200.

The previous prime is 201881. The next prime is 201889. The reversal of 201888 is 888102.

It can be written as a sum of positive squares in only one way, i.e., 138384 + 63504 = 372^2 + 252^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 201888.

It is not an unprimeable number, because it can be changed into a prime (201881) by changing a digit.

201888 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 63 + ... + 638.

2²⁰¹⁸⁸⁸ 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 201888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287469).

201888 is an abundant number, since it is smaller than the sum of its proper divisors (373050).

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

201888 is a wasteful number, since it uses less digits than its factorization.

201888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 201888 is about 449.3194854444. The cubic root of 201888 is about 58.6637969211.

It can be divided in two parts, 201 and 888, that added together give a square (1089 = 33²).

The spelling of 201888 in words is "two hundred one thousand, eight hundred eighty-eight".