91133856 has 192 divisors, whose sum is σ = 298045440. Its totient is φ = 26853120.

The previous prime is 91133851. The next prime is 91133873. The reversal of 91133856 is 65833119.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 91133856.

It is not an unprimeable number, because it can be changed into a prime (91133851) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 408561 + ... + 408783.

It is an arithmetic number, because the mean of its divisors is an integer number (1552320).

Almost surely, 2^91133856 is an apocalyptic number.

91133856 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91133856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149022720).

91133856 is an abundant number, since it is smaller than the sum of its proper divisors (206911584).

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

91133856 is a wasteful number, since it uses less digits than its factorization.

91133856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 282 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 91133856 is about 9546.4053967973. The cubic root of 91133856 is about 450.0145773056.

The spelling of 91133856 in words is "ninety-one million, one hundred thirty-three thousand, eight hundred fifty-six".