213435664 has 80 divisors (see below), whose sum is σ = 478094400. Its totient is φ = 91473408.

The previous prime is 213435661. The next prime is 213435671. The reversal of 213435664 is 466534312.

It is not an unprimeable number, because it can be changed into a prime (213435661) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 208947 + ... + 209965.

It is an arithmetic number, because the mean of its divisors is an integer number (5976180).

Almost surely, 2^213435664 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 213435664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239047200).

213435664 is an abundant number, since it is smaller than the sum of its proper divisors (264658736).

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

213435664 is a wasteful number, since it uses less digits than its factorization.

213435664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1106 counting only the distinct ones).

The product of its digits is 51840, while the sum is 34.

The square root of 213435664 is about 14609.4374977273. The cubic root of 213435664 is about 597.6161561724.

Adding to 213435664 its reverse (466534312), we get a palindrome (679969976).

The spelling of 213435664 in words is "two hundred thirteen million, four hundred thirty-five thousand, six hundred sixty-four".