201626656 has 144 divisors (see below), whose sum is σ = 513196992. Its totient is φ = 76285440.

The previous prime is 201626641. The next prime is 201626683. The reversal of 201626656 is 656626102.

201626656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1165386 + ... + 1165558.

It is an arithmetic number, because the mean of its divisors is an integer number (3563868).

Almost surely, 2^201626656 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 201626656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256598496).

201626656 is an abundant number, since it is smaller than the sum of its proper divisors (311570336).

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

201626656 is a wasteful number, since it uses less digits than its factorization.

201626656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 201626656 is about 14199.5301330713. The cubic root of 201626656 is about 586.3847256372.

The spelling of 201626656 in words is "two hundred one million, six hundred twenty-six thousand, six hundred fifty-six".