201223680 has 320 divisors, whose sum is σ = 777807360. Its totient is φ = 43352064.

The previous prime is 201223637. The next prime is 201223681. The reversal of 201223680 is 86322102.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 201223680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201223681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1021342 + ... + 1021538.

It is an arithmetic number, because the mean of its divisors is an integer number (2430648).

Almost surely, 2^201223680 is an apocalyptic number.

201223680 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 201223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388903680).

201223680 is an abundant number, since it is smaller than the sum of its proper divisors (576583680).

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

201223680 is a wasteful number, since it uses less digits than its factorization.

201223680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 201223680 is about 14185.3332706708. Note that the first 3 decimals coincide. The cubic root of 201223680 is about 585.9938107730.

Adding to 201223680 its reverse (86322102), we get a palindrome (287545782).

The spelling of 201223680 in words is "two hundred one million, two hundred twenty-three thousand, six hundred eighty".