5981824 has 32 divisors (see below), whose sum is σ = 12622500. Its totient is φ = 2813952.

The previous prime is 5981819. The next prime is 5981851. The reversal of 5981824 is 4281895.

It can be written as a sum of positive squares in 2 ways, for example, as 5953600 + 28224 = 2440^2 + 168^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 802 + ... + 3550.

Almost surely, 2^5981824 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 5981824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6311250).

5981824 is an abundant number, since it is smaller than the sum of its proper divisors (6640676).

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

5981824 is a wasteful number, since it uses less digits than its factorization.

5981824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2780 (or 2768 counting only the distinct ones).

The product of its digits is 23040, while the sum is 37.

The square root of 5981824 is about 2445.7767682272. The cubic root of 5981824 is about 181.5283848884.

The spelling of 5981824 in words is "five million, nine hundred eighty-one thousand, eight hundred twenty-four".