33089408 has 64 divisors (see below), whose sum is σ = 73146240. Its totient is φ = 14784000.

The previous prime is 33089401. The next prime is 33089417. The reversal of 33089408 is 80498033.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33089401) 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, 99803 + ... + 100133.

It is an arithmetic number, because the mean of its divisors is an integer number (1142910).

Almost surely, 2^33089408 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 33089408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36573120).

33089408 is an abundant number, since it is smaller than the sum of its proper divisors (40056832).

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

33089408 is a wasteful number, since it uses less digits than its factorization.

33089408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 33089408 is about 5752.3393502122. The cubic root of 33089408 is about 321.0428477723.

The spelling of 33089408 in words is "thirty-three million, eighty-nine thousand, four hundred eight".