211330720 has 96 divisors (see below), whose sum is σ = 520805376. Its totient is φ = 80947200.

The previous prime is 211330697. The next prime is 211330727. The reversal of 211330720 is 27033112.

It is not an unprimeable number, because it can be changed into a prime (211330727) by changing a digit.

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, 679365 + ... + 679675.

It is an arithmetic number, because the mean of its divisors is an integer number (5425056).

Almost surely, 2^211330720 is an apocalyptic number.

211330720 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 211330720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260402688).

211330720 is an abundant number, since it is smaller than the sum of its proper divisors (309474656).

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

211330720 is a wasteful number, since it uses less digits than its factorization.

211330720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 211330720 is about 14537.2184409536. The cubic root of 211330720 is about 595.6450598960.

Adding to 211330720 its reverse (27033112), we get a palindrome (238363832).

The spelling of 211330720 in words is "two hundred eleven million, three hundred thirty thousand, seven hundred twenty".