201020416 has 44 divisors (see below), whose sum is σ = 405756340. Its totient is φ = 99532800.

The previous prime is 201020377. The next prime is 201020419. The reversal of 201020416 is 614020102.

It can be written as a sum of positive squares in 2 ways, for example, as 79138816 + 121881600 = 8896^2 + 11040^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a self number, because there is not a number n which added to its sum of digits gives 201020416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201020419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 110716 + ... + 112516.

It is an arithmetic number, because the mean of its divisors is an integer number (9221735).

Almost surely, 2^201020416 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 201020416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202878170).

201020416 is an abundant number, since it is smaller than the sum of its proper divisors (204735924).

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

201020416 is a wasteful number, since it uses less digits than its factorization.

201020416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 201020416 is about 14178.1668772800. The cubic root of 201020416 is about 585.7964324544.

Adding to 201020416 its reverse (614020102), we get a palindrome (815040518).

The spelling of 201020416 in words is "two hundred one million, twenty thousand, four hundred sixteen".