91461984 has 72 divisors (see below), whose sum is σ = 251119512. Its totient is φ = 29145600.

The previous prime is 91461899. The next prime is 91462061. The reversal of 91461984 is 48916419.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49884 + ... + 51684.

It is an arithmetic number, because the mean of its divisors is an integer number (3487771).

Almost surely, 2^91461984 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 91461984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125559756).

91461984 is an abundant number, since it is smaller than the sum of its proper divisors (159657528).

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

91461984 is a wasteful number, since it uses less digits than its factorization.

91461984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860 (or 1829 counting only the distinct ones).

The product of its digits is 62208, while the sum is 42.

The square root of 91461984 is about 9563.5759002582. The cubic root of 91461984 is about 450.5540237988.

The spelling of 91461984 in words is "ninety-one million, four hundred sixty-one thousand, nine hundred eighty-four".