91473984 has 168 divisors, whose sum is σ = 306425600. Its totient is φ = 26078976.

The previous prime is 91473959. The next prime is 91473989. The reversal of 91473984 is 48937419.

91473984 is a `hidden beast` number, since 91 + 473 + 98 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is not an unprimeable number, because it can be changed into a prime (91473989) 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 23 ways as a sum of consecutive naturals, for example, 197337 + ... + 197799.

Almost surely, 2^91473984 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 91473984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153212800).

91473984 is an abundant number, since it is smaller than the sum of its proper divisors (214951616).

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

91473984 is a wasteful number, since it uses less digits than its factorization.

91473984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 475 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 91473984 is about 9564.2032600735. The cubic root of 91473984 is about 450.5737274746.

It can be divided in two parts, 9147 and 3984, that added together give a palindrome (13131).

The spelling of 91473984 in words is "ninety-one million, four hundred seventy-three thousand, nine hundred eighty-four".