91126116 has 81 divisors (see below), whose sum is σ = 242374041. Its totient is φ = 28867104.

The previous prime is 91126111. The next prime is 91126117. The reversal of 91126116 is 61162119.

The square root of 91126116 is 9546.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 81540900 + 9585216 = 9030^2 + 3096^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 91126116.

It is not an unprimeable number, because it can be changed into a prime (91126111) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2119191 + ... + 2119233.

Almost surely, 2^91126116 is an apocalyptic number.

91126116 is the 9546-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91126116

91126116 is an abundant number, since it is smaller than the sum of its proper divisors (151247925).

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

91126116 is a wasteful number, since it uses less digits than its factorization.

91126116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 85 counting only the distinct ones).

The product of its digits is 648, while the sum is 27.

The cubic root of 91126116 is about 450.0018370295.

The spelling of 91126116 in words is "ninety-one million, one hundred twenty-six thousand, one hundred sixteen".