201856 has 32 divisors (see below), whose sum is σ = 428400. Its totient is φ = 94464.

The previous prime is 201847. The next prime is 201881. The reversal of 201856 is 658102.

201856 = T₂₄ + T₂₅ + ... + T₁₀₆.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

201856 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2391 + ... + 2473.

2²⁰¹⁸⁵⁶ 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 201856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214200).

201856 is an abundant number, since it is smaller than the sum of its proper divisors (226544).

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

201856 is an equidigital number, since it uses as much as digits as its factorization.

201856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 201856 is about 449.2838746272. The cubic root of 201856 is about 58.6606972806.

Adding to 201856 its reverse (658102), we get a palindrome (859958).

The spelling of 201856 in words is "two hundred one thousand, eight hundred fifty-six".