66243312 has 160 divisors (see below), whose sum is σ = 203558400. Its totient is φ = 20579328.

The previous prime is 66243293. The next prime is 66243313. The reversal of 66243312 is 21334266.

66243312 is a `hidden beast` number, since 6 + 624 + 3 + 31 + 2 = 666.

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.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66243313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 586168 + ... + 586280.

It is an arithmetic number, because the mean of its divisors is an integer number (1272240).

Almost surely, 2^66243312 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 66243312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101779200).

66243312 is an abundant number, since it is smaller than the sum of its proper divisors (137315088).

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

66243312 is a wasteful number, since it uses less digits than its factorization.

66243312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 200 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 66243312 is about 8138.9994471065. Note that the first 3 decimals coincide. The cubic root of 66243312 is about 404.6200002217.

Adding to 66243312 its reverse (21334266), we get a palindrome (87577578).

The spelling of 66243312 in words is "sixty-six million, two hundred forty-three thousand, three hundred twelve".