213344320 has 224 divisors, whose sum is σ = 626766336. Its totient is φ = 67584000.

The previous prime is 213344311. The next prime is 213344359. The reversal of 213344320 is 23443312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 213344291 and 213344300.

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 31 ways as a sum of consecutive naturals, for example, 2112270 + ... + 2112370.

It is an arithmetic number, because the mean of its divisors is an integer number (2798064).

Almost surely, 2^213344320 is an apocalyptic number.

213344320 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 213344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313383168).

213344320 is an abundant number, since it is smaller than the sum of its proper divisors (413422016).

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

213344320 is a wasteful number, since it uses less digits than its factorization.

213344320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 213344320 is about 14606.3109647851. The cubic root of 213344320 is about 597.5308901357.

Adding to 213344320 its reverse (23443312), we get a palindrome (236787632).

The spelling of 213344320 in words is "two hundred thirteen million, three hundred forty-four thousand, three hundred twenty".