66213312 has 112 divisors (see below), whose sum is σ = 193560192. Its totient is φ = 19809280.

The previous prime is 66213311. The next prime is 66213361. The reversal of 66213312 is 21331266.

It is a happy number.

66213312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66213311) 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 15 ways as a sum of consecutive naturals, for example, 225838 + ... + 226130.

It is an arithmetic number, because the mean of its divisors is an integer number (1728216).

Almost surely, 2^66213312 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 66213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96780096).

66213312 is an abundant number, since it is smaller than the sum of its proper divisors (127346880).

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

66213312 is a wasteful number, since it uses less digits than its factorization.

66213312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 416 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 66213312 is about 8137.1562600211. The cubic root of 66213312 is about 404.5589101155.

Adding to 66213312 its reverse (21331266), we get a palindrome (87544578).

The spelling of 66213312 in words is "sixty-six million, two hundred thirteen thousand, three hundred twelve".