5981328 has 60 divisors (see below), whose sum is σ = 16998540. Its totient is φ = 1963008.

The previous prime is 5981323. The next prime is 5981341. The reversal of 5981328 is 8231895.

It can be written as a sum of positive squares in 2 ways, for example, as 2108304 + 3873024 = 1452^2 + 1968^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 5981292 and 5981301.

It is not an unprimeable number, because it can be changed into a prime (5981323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10228 + ... + 10796.

It is an arithmetic number, because the mean of its divisors is an integer number (283309).

Almost surely, 2^5981328 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 5981328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8499270).

5981328 is an abundant number, since it is smaller than the sum of its proper divisors (11017212).

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

5981328 is a wasteful number, since it uses less digits than its factorization.

5981328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 647 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 5981328 is about 2445.6753668465. The cubic root of 5981328 is about 181.5233674351.

The spelling of 5981328 in words is "five million, nine hundred eighty-one thousand, three hundred twenty-eight".