33089920 has 64 divisors (see below), whose sum is σ = 79866000. Its totient is φ = 13109248.

The previous prime is 33089909. The next prime is 33089921. The reversal of 33089920 is 2998033.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33089921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95187 + ... + 95533.

Almost surely, 2^33089920 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 33089920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39933000).

33089920 is an abundant number, since it is smaller than the sum of its proper divisors (46776080).

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

33089920 is a wasteful number, since it uses less digits than its factorization.

33089920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 33089920 is about 5752.3838536732. The cubic root of 33089920 is about 321.0445036203.

The spelling of 33089920 in words is "thirty-three million, eighty-nine thousand, nine hundred twenty".