211711320 has 192 divisors, whose sum is σ = 745355520. Its totient is φ = 53944704.

The previous prime is 211711289. The next prime is 211711321. The reversal of 211711320 is 23117112.

It is a happy number.

It is a super-2 number, since 2×211711320² = 89643366032284800, which contains 22 as substring.

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 = 211711293 and 211711302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211711321) 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, 223087 + ... + 224033.

It is an arithmetic number, because the mean of its divisors is an integer number (3882060).

Almost surely, 2^211711320 is an apocalyptic number.

211711320 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 211711320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372677760).

211711320 is an abundant number, since it is smaller than the sum of its proper divisors (533644200).

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

211711320 is a wasteful number, since it uses less digits than its factorization.

211711320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 211711320 is about 14550.3030896267. The cubic root of 211711320 is about 596.0024248058.

Adding to 211711320 its reverse (23117112), we get a palindrome (234828432).

The spelling of 211711320 in words is "two hundred eleven million, seven hundred eleven thousand, three hundred twenty".