33066336 has 96 divisors (see below), whose sum is σ = 92123136. Its totient is φ = 10368000.

The previous prime is 33066301. The next prime is 33066359. The reversal of 33066336 is 63366033.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121881 + ... + 122151.

It is an arithmetic number, because the mean of its divisors is an integer number (959616).

Almost surely, 2^33066336 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 33066336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46061568).

33066336 is an abundant number, since it is smaller than the sum of its proper divisors (59056800).

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

33066336 is a wasteful number, since it uses less digits than its factorization.

33066336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 30.

The square root of 33066336 is about 5750.3335555427. Note that the first 3 decimals coincide. The cubic root of 33066336 is about 320.9682133876.

It can be divided in two parts, 330 and 66336, that added together give a palindrome (66666).

The spelling of 33066336 in words is "thirty-three million, sixty-six thousand, three hundred thirty-six".