211320320 has 160 divisors (see below), whose sum is σ = 548589888. Its totient is φ = 77856768.

The previous prime is 211320313. The next prime is 211320331. The reversal of 211320320 is 23023112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 211320295 and 211320304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2178512 + ... + 2178608.

Almost surely, 2^211320320 is an apocalyptic number.

211320320 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 211320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274294944).

211320320 is an abundant number, since it is smaller than the sum of its proper divisors (337269568).

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

211320320 is an equidigital number, since it uses as much as digits as its factorization.

211320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 211320320 is about 14536.8607340099. The cubic root of 211320320 is about 595.6352887811.

Adding to 211320320 its reverse (23023112), we get a palindrome (234343432).

The spelling of 211320320 in words is "two hundred eleven million, three hundred twenty thousand, three hundred twenty".