5829984 has 72 divisors (see below), whose sum is σ = 17140032. Its totient is φ = 1877760.

The previous prime is 5829973. The next prime is 5830001. The reversal of 5829984 is 4899285.

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 8602 + ... + 9254.

It is an arithmetic number, because the mean of its divisors is an integer number (238056).

Almost surely, 2^5829984 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 5829984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8570016).

5829984 is an abundant number, since it is smaller than the sum of its proper divisors (11310048).

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

5829984 is a wasteful number, since it uses less digits than its factorization.

5829984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 689 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 5829984 is about 2414.5359802662. The cubic root of 5829984 is about 179.9792568689.

The spelling of 5829984 in words is "five million, eight hundred twenty-nine thousand, nine hundred eighty-four".