201890688 has 64 divisors (see below), whose sum is σ = 559612800. Its totient is φ = 64368128.

The previous prime is 201890681. The next prime is 201890707. The reversal of 201890688 is 886098102.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×201890688² = 81519699802226688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201890681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2598 + ... + 20261.

It is an arithmetic number, because the mean of its divisors is an integer number (8743950).

Almost surely, 2^201890688 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 201890688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279806400).

201890688 is an abundant number, since it is smaller than the sum of its proper divisors (357722112).

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

201890688 is a wasteful number, since it uses less digits than its factorization.

201890688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22899 (or 22887 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 201890688 is about 14208.8243004128. The cubic root of 201890688 is about 586.6405727604.

The spelling of 201890688 in words is "two hundred one million, eight hundred ninety thousand, six hundred eighty-eight".