91481984 has 64 divisors (see below), whose sum is σ = 203575680. Its totient is φ = 40588800.

The previous prime is 91481983. The next prime is 91481993. The reversal of 91481984 is 48918419.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91481983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59789 + ... + 61299.

It is an arithmetic number, because the mean of its divisors is an integer number (3180870).

Almost surely, 2^91481984 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 91481984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101787840).

91481984 is an abundant number, since it is smaller than the sum of its proper divisors (112093696).

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

91481984 is a wasteful number, since it uses less digits than its factorization.

91481984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1579 (or 1567 counting only the distinct ones).

The product of its digits is 82944, while the sum is 44.

The square root of 91481984 is about 9564.6214770894. The cubic root of 91481984 is about 450.5868623011.

The spelling of 91481984 in words is "ninety-one million, four hundred eighty-one thousand, nine hundred eighty-four".