91189296 has 120 divisors (see below), whose sum is σ = 290624256. Its totient is φ = 26421120.

The previous prime is 91189261. The next prime is 91189297. The reversal of 91189296 is 69298119.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91189297) 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 23 ways as a sum of consecutive naturals, for example, 35181 + ... + 37683.

Almost surely, 2^91189296 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 91189296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145312128).

91189296 is an abundant number, since it is smaller than the sum of its proper divisors (199434960).

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

91189296 is a wasteful number, since it uses less digits than its factorization.

91189296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2551 (or 2542 counting only the distinct ones).

The product of its digits is 69984, while the sum is 45.

The square root of 91189296 is about 9549.3086660763. The cubic root of 91189296 is about 450.1058121546.

The spelling of 91189296 in words is "ninety-one million, one hundred eighty-nine thousand, two hundred ninety-six".