33916968 has 96 divisors (see below), whose sum is σ = 96969600. Its totient is φ = 11104128.

The previous prime is 33916937. The next prime is 33916969. The reversal of 33916968 is 86961933.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (33916969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141793 + ... + 142031.

It is an arithmetic number, because the mean of its divisors is an integer number (1010100).

Almost surely, 2^33916968 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 33916968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48484800).

33916968 is an abundant number, since it is smaller than the sum of its proper divisors (63052632).

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

33916968 is a wasteful number, since it uses less digits than its factorization.

33916968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 317 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 33916968 is about 5823.8276073387. The cubic root of 33916968 is about 323.6972480550.

The spelling of 33916968 in words is "thirty-three million, nine hundred sixteen thousand, nine hundred sixty-eight".