213440320 has 56 divisors (see below), whose sum is σ = 515273544. Its totient is φ = 84197376.

The previous prime is 213440267. The next prime is 213440323. The reversal of 213440320 is 23044312.

It can be written as a sum of positive squares in 4 ways, for example, as 46656 + 213393664 = 216^2 + 14608^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213440323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18792 + ... + 27928.

Almost surely, 2^213440320 is an apocalyptic number.

213440320 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 213440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257636772).

213440320 is an abundant number, since it is smaller than the sum of its proper divisors (301833224).

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

213440320 is an equidigital number, since it uses as much as digits as its factorization.

213440320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9227 (or 9217 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 213440320 is about 14609.5968459092. The cubic root of 213440320 is about 597.6205017139.

Adding to 213440320 its reverse (23044312), we get a palindrome (236484632).

The spelling of 213440320 in words is "two hundred thirteen million, four hundred forty thousand, three hundred twenty".