91863168 has 64 divisors (see below), whose sum is σ = 251915520. Its totient is φ = 29629440.

The previous prime is 91863143. The next prime is 91863203. The reversal of 91863168 is 86136819.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8046 + ... + 15762.

It is an arithmetic number, because the mean of its divisors is an integer number (3936180).

Almost surely, 2^91863168 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 91863168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125957760).

91863168 is an abundant number, since it is smaller than the sum of its proper divisors (160052352).

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

91863168 is a wasteful number, since it uses less digits than its factorization.

91863168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7765 (or 7753 counting only the distinct ones).

The product of its digits is 62208, while the sum is 42.

The square root of 91863168 is about 9584.5275313914. The cubic root of 91863168 is about 451.2118250510.

The spelling of 91863168 in words is "ninety-one million, eight hundred sixty-three thousand, one hundred sixty-eight".