201640320 has 256 divisors, whose sum is σ = 816652800. Its totient is φ = 46061568.

The previous prime is 201640289. The next prime is 201640357. The reversal of 201640320 is 23046102.

It is a happy number.

201640320 is a `hidden beast` number, since 2 + 0 + 1 + 640 + 3 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 201640293 and 201640302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120127 + ... + 121793.

It is an arithmetic number, because the mean of its divisors is an integer number (3190050).

Almost surely, 2^201640320 is an apocalyptic number.

201640320 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 201640320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408326400).

201640320 is an abundant number, since it is smaller than the sum of its proper divisors (615012480).

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

201640320 is a wasteful number, since it uses less digits than its factorization.

201640320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1702 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 201640320 is about 14200.0112676012. The cubic root of 201640320 is about 586.3979715378.

Adding to 201640320 its reverse (23046102), we get a palindrome (224686422).

The spelling of 201640320 in words is "two hundred one million, six hundred forty thousand, three hundred twenty".