9033984 has 72 divisors (see below), whose sum is σ = 26735520. Its totient is φ = 3009024.

The previous prime is 9033979. The next prime is 9033991. The reversal of 9033984 is 4893309.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×9033984² = 163225733824512, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6259 + ... + 7565.

Almost surely, 2^9033984 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 9033984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13367760).

9033984 is an abundant number, since it is smaller than the sum of its proper divisors (17701536).

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

9033984 is a wasteful number, since it uses less digits than its factorization.

9033984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 9033984 is about 3005.6586632550. The cubic root of 9033984 is about 208.2698666764.

The spelling of 9033984 in words is "nine million, thirty-three thousand, nine hundred eighty-four".