91096128 has 84 divisors (see below), whose sum is σ = 264193020. Its totient is φ = 30007296.

The previous prime is 91096121. The next prime is 91096129. The reversal of 91096128 is 82169019.

It can be written as a sum of positive squares in 2 ways, for example, as 31002624 + 60093504 = 5568^2 + 7752^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 91096092 and 91096101.

It is not an unprimeable number, because it can be changed into a prime (91096121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50376 + ... + 52152.

It is an arithmetic number, because the mean of its divisors is an integer number (3145155).

Almost surely, 2^91096128 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 91096128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132096510).

91096128 is an abundant number, since it is smaller than the sum of its proper divisors (173096892).

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

91096128 is a wasteful number, since it uses less digits than its factorization.

91096128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 91096128 is about 9544.4291605103. The cubic root of 91096128 is about 449.9524690538.

The spelling of 91096128 in words is "ninety-one million, ninety-six thousand, one hundred twenty-eight".