213396768 has 144 divisors (see below), whose sum is σ = 678053376. Its totient is φ = 65629440.

The previous prime is 213396763. The next prime is 213396787. The reversal of 213396768 is 867693312.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (213396763) 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 23 ways as a sum of consecutive naturals, for example, 100033 + ... + 102143.

It is an arithmetic number, because the mean of its divisors is an integer number (4708704).

Almost surely, 2^213396768 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 213396768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339026688).

213396768 is an abundant number, since it is smaller than the sum of its proper divisors (464656608).

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

213396768 is a wasteful number, since it uses less digits than its factorization.

213396768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149 (or 2129 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 213396768 is about 14608.1062427681. The cubic root of 213396768 is about 597.5798512585.

The spelling of 213396768 in words is "two hundred thirteen million, three hundred ninety-six thousand, seven hundred sixty-eight".