4533984 has 144 divisors (see below), whose sum is σ = 15960672. Its totient is φ = 1188864.

The previous prime is 4533979. The next prime is 4534007. The reversal of 4533984 is 4893354.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26122 + ... + 26294.

It is an arithmetic number, because the mean of its divisors is an integer number (110838).

Almost surely, 2^4533984 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 4533984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7980336).

4533984 is an abundant number, since it is smaller than the sum of its proper divisors (11426688).

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

4533984 is a wasteful number, since it uses less digits than its factorization.

4533984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 198 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 4533984 is about 2129.3153829341. The cubic root of 4533984 is about 165.5109231784.

The spelling of 4533984 in words is "four million, five hundred thirty-three thousand, nine hundred eighty-four".