91968 has 28 divisors (see below), whose sum is σ = 243840. Its totient is φ = 30592.

The previous prime is 91967. The next prime is 91969. The reversal of 91968 is 86919.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (91967) and next prime (91969).

It is a super-3 number, since 3×91968³ = 2333627215773696, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 48 + ... + 431.

2⁹¹⁹⁶⁸ 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 91968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121920).

91968 is an abundant number, since it is smaller than the sum of its proper divisors (151872).

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

91968 is a wasteful number, since it uses less digits than its factorization.

91968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 484 counting only the distinct ones).

The product of its digits is 3888, while the sum is 33.

The square root of 91968 is about 303.2622627364. The cubic root of 91968 is about 45.1383397102.

It can be divided in two parts, 91 and 968, that multiplied together give a palindrome (88088).

The spelling of 91968 in words is "ninety-one thousand, nine hundred sixty-eight".