91993216 has 64 divisors (see below), whose sum is σ = 212143680. Its totient is φ = 38919168.

The previous prime is 91993207. The next prime is 91993219. The reversal of 91993216 is 61239919.

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

It is not an unprimeable number, because it can be changed into a prime (91993219) 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, 73750 + ... + 74986.

It is an arithmetic number, because the mean of its divisors is an integer number (3314745).

Almost surely, 2^91993216 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 91993216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106071840).

91993216 is an abundant number, since it is smaller than the sum of its proper divisors (120150464).

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

91993216 is a wasteful number, since it uses less digits than its factorization.

91993216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1329 counting only the distinct ones).

The product of its digits is 26244, while the sum is 40.

The square root of 91993216 is about 9591.3093996597. The cubic root of 91993216 is about 451.4246471149.

The spelling of 91993216 in words is "ninety-one million, nine hundred ninety-three thousand, two hundred sixteen".