201856608 has 144 divisors (see below), whose sum is σ = 621195120. Its totient is φ = 61959168.

The previous prime is 201856601. The next prime is 201856637. The reversal of 201856608 is 806658102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201856601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201966 + ... + 202962.

It is an arithmetic number, because the mean of its divisors is an integer number (4313855).

Almost surely, 2^201856608 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 201856608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310597560).

201856608 is an abundant number, since it is smaller than the sum of its proper divisors (419338512).

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

201856608 is a wasteful number, since it uses less digits than its factorization.

201856608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 201856608 is about 14207.6249950511. The cubic root of 201856608 is about 586.6075617682.

The spelling of 201856608 in words is "two hundred one million, eight hundred fifty-six thousand, six hundred eight".