5968224 has 144 divisors (see below), whose sum is σ = 19105632. Its totient is φ = 1757184.

The previous prime is 5968219. The next prime is 5968231. The reversal of 5968224 is 4228695.

It is a happy number.

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 d-powerful number, because it can be written as 5⁸ + 9⁷ + 6 + 8⁴ + 2¹⁸ + 2¹⁹ + 4⁶ .

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, 112582 + ... + 112634.

It is an arithmetic number, because the mean of its divisors is an integer number (132678).

Almost surely, 2^5968224 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 5968224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9552816).

5968224 is an abundant number, since it is smaller than the sum of its proper divisors (13137408).

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

5968224 is a wasteful number, since it uses less digits than its factorization.

5968224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 98 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 5968224 is about 2442.9948833348. The cubic root of 5968224 is about 181.3907089681.

The spelling of 5968224 in words is "five million, nine hundred sixty-eight thousand, two hundred twenty-four".