33006880 has 48 divisors (see below), whose sum is σ = 79168320. Its totient is φ = 13001472.

The previous prime is 33006851. The next prime is 33006881. The reversal of 33006880 is 8860033.

It is not an unprimeable number, because it can be changed into a prime (33006881) 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 7 ways as a sum of consecutive naturals, for example, 9181 + ... + 12259.

It is an arithmetic number, because the mean of its divisors is an integer number (1649340).

Almost surely, 2^33006880 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 33006880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39584160).

33006880 is an abundant number, since it is smaller than the sum of its proper divisors (46161440).

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

33006880 is a wasteful number, since it uses less digits than its factorization.

33006880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3161 (or 3153 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 33006880 is about 5745.1614424662. The cubic root of 33006880 is about 320.7757221943.

The spelling of 33006880 in words is "thirty-three million, six thousand, eight hundred eighty".