33044016 has 80 divisors (see below), whose sum is σ = 89994240. Its totient is φ = 10433280.

The previous prime is 33043987. The next prime is 33044017. The reversal of 33044016 is 61044033.

It is a junction number, because it is equal to n+sod(n) for n = 33043983 and 33044001.

It is not an unprimeable number, because it can be changed into a prime (33044017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78655 + ... + 79073.

It is an arithmetic number, because the mean of its divisors is an integer number (1124928).

Almost surely, 2^33044016 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 33044016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44997120).

33044016 is an abundant number, since it is smaller than the sum of its proper divisors (56950224).

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

33044016 is a wasteful number, since it uses less digits than its factorization.

33044016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 33044016 is about 5748.3924709435. The cubic root of 33044016 is about 320.8959785620.

Adding to 33044016 its reverse (61044033), we get a palindrome (94088049).

The spelling of 33044016 in words is "thirty-three million, forty-four thousand, sixteen".