213412320 has 288 divisors, whose sum is σ = 825552000. Its totient is φ = 51632640.

The previous prime is 213412273. The next prime is 213412321. The reversal of 213412320 is 23214312.

213412320 is a `hidden beast` number, since 2 + 1 + 341 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 213412293 and 213412302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213412321) 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 47 ways as a sum of consecutive naturals, for example, 427431 + ... + 427929.

It is an arithmetic number, because the mean of its divisors is an integer number (2866500).

Almost surely, 2^213412320 is an apocalyptic number.

213412320 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 213412320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412776000).

213412320 is an abundant number, since it is smaller than the sum of its proper divisors (612139680).

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

213412320 is a wasteful number, since it uses less digits than its factorization.

213412320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 213412320 is about 14608.6385402610. The cubic root of 213412320 is about 597.5943677797.

Adding to 213412320 its reverse (23214312), we get a palindrome (236626632).

The spelling of 213412320 in words is "two hundred thirteen million, four hundred twelve thousand, three hundred twenty".