5968116 has 72 divisors (see below), whose sum is σ = 18817344. Its totient is φ = 1549440.

The previous prime is 5968103. The next prime is 5968121. The reversal of 5968116 is 6118695.

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

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 23 ways as a sum of consecutive naturals, for example, 1696 + ... + 3848.

It is an arithmetic number, because the mean of its divisors is an integer number (261352).

Almost surely, 2^5968116 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 5968116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9408672).

5968116 is an abundant number, since it is smaller than the sum of its proper divisors (12849228).

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

5968116 is a wasteful number, since it uses less digits than its factorization.

5968116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2181 (or 2176 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 5968116 is about 2442.9727792180. The cubic root of 5968116 is about 181.3896148226.

It can be divided in two parts, 5968 and 116, that added together give a square (6084 = 78²).

The spelling of 5968116 in words is "five million, nine hundred sixty-eight thousand, one hundred sixteen".