33057920 has 128 divisors (see below), whose sum is σ = 92828160. Its totient is φ = 11022336.

The previous prime is 33057919. The next prime is 33057943. The reversal of 33057920 is 2975033.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210482 + ... + 210638.

It is an arithmetic number, because the mean of its divisors is an integer number (725220).

Almost surely, 2^33057920 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 33057920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46414080).

33057920 is an abundant number, since it is smaller than the sum of its proper divisors (59770240).

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

33057920 is a wasteful number, since it uses less digits than its factorization.

33057920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 29.

The square root of 33057920 is about 5749.6017253372. The cubic root of 33057920 is about 320.9409802757.

The spelling of 33057920 in words is "thirty-three million, fifty-seven thousand, nine hundred twenty".