91116800 has 108 divisors (see below), whose sum is σ = 235714080. Its totient is φ = 34805760.

The previous prime is 91116791. The next prime is 91116803. The reversal of 91116800 is 861119.

It is a self number, because there is not a number n which added to its sum of digits gives 91116800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91116803) 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, 146891 + ... + 147509.

Almost surely, 2^91116800 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 91116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117857040).

91116800 is an abundant number, since it is smaller than the sum of its proper divisors (144597280).

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

91116800 is a wasteful number, since it uses less digits than its factorization.

91116800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 26.

The square root of 91116800 is about 9545.5120344589. The cubic root of 91116800 is about 449.9865016527.

Adding to 91116800 its reverse (861119), we get a palindrome (91977919).

The spelling of 91116800 in words is "ninety-one million, one hundred sixteen thousand, eight hundred".