213342336 has 192 divisors, whose sum is σ = 672016800. Its totient is φ = 67371264.

The previous prime is 213342329. The next prime is 213342359. The reversal of 213342336 is 633243312.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (7776) is a multiple of the sum of its prime divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11228535 + ... + 11228553.

Almost surely, 2^213342336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213342336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336008400).

213342336 is an abundant number, since it is smaller than the sum of its proper divisors (458674464).

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

213342336 is an frugal number, since it uses more digits than its factorization.

213342336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 24 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

The square root of 213342336 is about 14606.2430487788. The cubic root of 213342336 is about 597.5290378796.

Adding to 213342336 its reverse (633243312), we get a palindrome (846585648).

The spelling of 213342336 in words is "two hundred thirteen million, three hundred forty-two thousand, three hundred thirty-six".