201330864 has 240 divisors, whose sum is σ = 705669120. Its totient is φ = 52254720.

The previous prime is 201330863. The next prime is 201330919. The reversal of 201330864 is 468033102.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (201330863) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 531027 + ... + 531405.

It is an arithmetic number, because the mean of its divisors is an integer number (2940288).

Almost surely, 2^201330864 is an apocalyptic number.

201330864 is a gapful number since it is divisible by the number (24) 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 201330864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352834560).

201330864 is an abundant number, since it is smaller than the sum of its proper divisors (504338256).

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

201330864 is a wasteful number, since it uses less digits than its factorization.

201330864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 201330864 is about 14189.1107543778. The cubic root of 201330864 is about 586.0978376482.

Adding to 201330864 its reverse (468033102), we get a palindrome (669363966).

The spelling of 201330864 in words is "two hundred one million, three hundred thirty thousand, eight hundred sixty-four".