33016896 has 168 divisors, whose sum is σ = 107618784. Its totient is φ = 9953280.

The previous prime is 33016859. The next prime is 33016897. The reversal of 33016896 is 69861033.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 33016896.

It is not an unprimeable number, because it can be changed into a prime (33016897) 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 23 ways as a sum of consecutive naturals, for example, 170976 + ... + 171168.

It is an arithmetic number, because the mean of its divisors is an integer number (640588).

Almost surely, 2^33016896 is an apocalyptic number.

33016896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33016896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53809392).

33016896 is an abundant number, since it is smaller than the sum of its proper divisors (74601888).

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

33016896 is a wasteful number, since it uses less digits than its factorization.

33016896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 33016896 is about 5746.0330663859. The cubic root of 33016896 is about 320.8081655789.

The spelling of 33016896 in words is "thirty-three million, sixteen thousand, eight hundred ninety-six".