91113984 has 200 divisors, whose sum is σ = 294603540. Its totient is φ = 28035072.

The previous prime is 91113977. The next prime is 91114003. The reversal of 91113984 is 48931119.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 28387584 + 62726400 = 5328^2 + 7920^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=3, B=312.

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

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

Its product of digits (7776) is a multiple of the sum of its prime divisors (18).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7008762 + ... + 7008774.

Almost surely, 2^91113984 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 91113984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147301770).

91113984 is an abundant number, since it is smaller than the sum of its proper divisors (203489556).

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

91113984 is an frugal number, since it uses more digits than its factorization.

91113984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 18 counting only the distinct ones).

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

The square root of 91113984 is about 9545.3645294457. The cubic root of 91113984 is about 449.9818659359.

The spelling of 91113984 in words is "ninety-one million, one hundred thirteen thousand, nine hundred eighty-four".