91968384 has 64 divisors (see below), whose sum is σ = 250932240. Its totient is φ = 29822976.

The previous prime is 91968343. The next prime is 91968389. The reversal of 91968384 is 48386919.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×91968384³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91968389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10972 + ... + 17444.

Almost surely, 2^91968384 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 91968384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125466120).

91968384 is an abundant number, since it is smaller than the sum of its proper divisors (158963856).

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

91968384 is a wasteful number, since it uses less digits than its factorization.

91968384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6527 (or 6515 counting only the distinct ones).

The product of its digits is 373248, while the sum is 48.

The square root of 91968384 is about 9590.0148070793. The cubic root of 91968384 is about 451.3840253310.

The spelling of 91968384 in words is "ninety-one million, nine hundred sixty-eight thousand, three hundred eighty-four".