201021264 has 120 divisors (see below), whose sum is σ = 589024800. Its totient is φ = 66365568.

The previous prime is 201021257. The next prime is 201021283. The reversal of 201021264 is 462120102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 579139 + ... + 579485.

It is an arithmetic number, because the mean of its divisors is an integer number (4908540).

Almost surely, 2^201021264 is an apocalyptic number.

201021264 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 201021264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294512400).

201021264 is an abundant number, since it is smaller than the sum of its proper divisors (388003536).

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

201021264 is a wasteful number, since it uses less digits than its factorization.

201021264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 201021264 is about 14178.1967823839. The cubic root of 201021264 is about 585.7972561762.

Adding to 201021264 its reverse (462120102), we get a palindrome (663141366).

The spelling of 201021264 in words is "two hundred one million, twenty-one thousand, two hundred sixty-four".