91833984 has 96 divisors (see below), whose sum is σ = 288325440. Its totient is φ = 27824640.

The previous prime is 91833967. The next prime is 91833991. The reversal of 91833984 is 48933819.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

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, 9049 + ... + 16295.

It is an arithmetic number, because the mean of its divisors is an integer number (3003390).

Almost surely, 2^91833984 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 91833984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144162720).

91833984 is an abundant number, since it is smaller than the sum of its proper divisors (196491456).

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

91833984 is a wasteful number, since it uses less digits than its factorization.

91833984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7278 (or 7263 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 91833984 is about 9583.0049566929. The cubic root of 91833984 is about 451.1640381780.

The spelling of 91833984 in words is "ninety-one million, eight hundred thirty-three thousand, nine hundred eighty-four".