68133312 has 168 divisors, whose sum is σ = 218750896. Its totient is φ = 20901888.

The previous prime is 68133311. The next prime is 68133323. The reversal of 68133312 is 21333186.

It is a happy number.

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68133311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202008 + ... + 202344.

Almost surely, 2^68133312 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 68133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109375448).

68133312 is an abundant number, since it is smaller than the sum of its proper divisors (150617584).

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

68133312 is a wasteful number, since it uses less digits than its factorization.

68133312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 355 counting only the distinct ones).

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

The square root of 68133312 is about 8254.2905206929. The cubic root of 68133312 is about 408.4320682338.

Adding to 68133312 its reverse (21333186), we get a palindrome (89466498).

It can be divided in two parts, 6 and 8133312, that added together give a palindrome (8133318).

The spelling of 68133312 in words is "sixty-eight million, one hundred thirty-three thousand, three hundred twelve".