213364116 has 108 divisors (see below), whose sum is σ = 630049056. Its totient is φ = 59630400.

The previous prime is 213364037. The next prime is 213364117. The reversal of 213364116 is 611463312.

213364116 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 641 + 16 = 666.

It is a super-2 number, since 2×213364116² = 91048491992922912, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 213364116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213364117) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2112466 + ... + 2112566.

Almost surely, 2^213364116 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 213364116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315024528).

213364116 is an abundant number, since it is smaller than the sum of its proper divisors (416684940).

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

213364116 is a wasteful number, since it uses less digits than its factorization.

213364116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 196 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 213364116 is about 14606.9886013511. The cubic root of 213364116 is about 597.5493709897.

It can be divided in two parts, 21336 and 4116, that added together give a palindrome (25452).

The spelling of 213364116 in words is "two hundred thirteen million, three hundred sixty-four thousand, one hundred sixteen".