201288640 has 112 divisors (see below), whose sum is σ = 571756032. Its totient is φ = 65995776.

The previous prime is 201288613. The next prime is 201288643. The reversal of 201288640 is 46882102.

201288640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201288643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49567 + ... + 53473.

Almost surely, 2^201288640 is an apocalyptic number.

201288640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285878016).

201288640 is an abundant number, since it is smaller than the sum of its proper divisors (370467392).

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

201288640 is a wasteful number, since it uses less digits than its factorization.

201288640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3954 (or 3944 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 201288640 is about 14187.6227747992. The cubic root of 201288640 is about 586.0568617726.

The spelling of 201288640 in words is "two hundred one million, two hundred eighty-eight thousand, six hundred forty".