5968544 has 36 divisors (see below), whose sum is σ = 12240522. Its totient is φ = 2862720.

The previous prime is 5968481. The next prime is 5968549. The reversal of 5968544 is 4458695.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 3952144 + 2016400 = 1988^2 + 1420^2 .

It is not an unprimeable number, because it can be changed into a prime (5968549) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 84029 + ... + 84099.

Almost surely, 2^5968544 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 5968544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6120261).

5968544 is an abundant number, since it is smaller than the sum of its proper divisors (6271978).

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

5968544 is an equidigital number, since it uses as much as digits as its factorization.

5968544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 110 counting only the distinct ones).

The product of its digits is 172800, while the sum is 41.

The square root of 5968544 is about 2443.0603758401. The cubic root of 5968544 is about 181.3939508029.

The spelling of 5968544 in words is "five million, nine hundred sixty-eight thousand, five hundred forty-four".