33316668 has 216 divisors, whose sum is σ = 114279984. Its totient is φ = 8064000.

The previous prime is 33316663. The next prime is 33316693. The reversal of 33316668 is 86661333.

It is a super-2 number, since 2×33316668² = 2220000733244448, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33316663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 329818 + ... + 329918.

It is an arithmetic number, because the mean of its divisors is an integer number (529074).

Almost surely, 2^33316668 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 33316668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57139992).

33316668 is an abundant number, since it is smaller than the sum of its proper divisors (80963316).

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

33316668 is a wasteful number, since it uses less digits than its factorization.

33316668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 141 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 33316668 is about 5772.0592512551. The cubic root of 33316668 is about 321.7761519197.

It can be divided in two parts, 3331 and 6668, that added together give a palindrome (9999).

The spelling of 33316668 in words is "thirty-three million, three hundred sixteen thousand, six hundred sixty-eight".