5968248 has 128 divisors (see below), whose sum is σ = 18385920. Its totient is φ = 1589760.

The previous prime is 5968231. The next prime is 5968253. The reversal of 5968248 is 8428695.

It is a Cunningham number, because it is equal to 2443²-1.

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 31 ways as a sum of consecutive naturals, for example, 126961 + ... + 127007.

It is an arithmetic number, because the mean of its divisors is an integer number (143640).

Almost surely, 2^5968248 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 5968248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9192960).

5968248 is an abundant number, since it is smaller than the sum of its proper divisors (12417672).

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

5968248 is a wasteful number, since it uses less digits than its factorization.

5968248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 113 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 5968248 is about 2442.9997953336. Note that the first 3 decimals coincide. The cubic root of 5968248 is about 181.3909521097.

It can be divided in two parts, 5968 and 248, that added together give a triangular number (6216 = T₁₁₁).

The spelling of 5968248 in words is "five million, nine hundred sixty-eight thousand, two hundred forty-eight".