91382096 has 60 divisors (see below), whose sum is σ = 201401172. Its totient is φ = 39923712.

The previous prime is 91382047. The next prime is 91382099. The reversal of 91382096 is 69028319.

It can be written as a sum of positive squares in 2 ways, for example, as 21492496 + 69889600 = 4636^2 + 8360^2 .

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91382099) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 74480 + ... + 75696.

Almost surely, 2^91382096 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 91382096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100700586).

91382096 is an abundant number, since it is smaller than the sum of its proper divisors (110019076).

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

91382096 is a wasteful number, since it uses less digits than its factorization.

91382096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 38.

The square root of 91382096 is about 9559.3983074250. The cubic root of 91382096 is about 450.4228059126.

The spelling of 91382096 in words is "ninety-one million, three hundred eighty-two thousand, ninety-six".