213324384 has 96 divisors (see below), whose sum is σ = 689230080. Its totient is φ = 56259072.

The previous prime is 213324373. The next prime is 213324389. The reversal of 213324384 is 483423312.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213324389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3474 + ... + 20945.

It is an arithmetic number, because the mean of its divisors is an integer number (7179480).

Almost surely, 2^213324384 is an apocalyptic number.

213324384 is a gapful number since it is divisible by the number (24) 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 213324384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344615040).

213324384 is an abundant number, since it is smaller than the sum of its proper divisors (475905696).

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

213324384 is a wasteful number, since it uses less digits than its factorization.

213324384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24452 (or 24444 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 213324384 is about 14605.6285041076. The cubic root of 213324384 is about 597.5122774273.

Adding to 213324384 its reverse (483423312), we get a palindrome (696747696).

The spelling of 213324384 in words is "two hundred thirteen million, three hundred twenty-four thousand, three hundred eighty-four".