91329984 has 112 divisors (see below), whose sum is σ = 284378400. Its totient is φ = 28643328.

The previous prime is 91329983. The next prime is 91330003. The reversal of 91329984 is 48992319.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91329983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27822 + ... + 30930.

Almost surely, 2^91329984 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 91329984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142189200).

91329984 is an abundant number, since it is smaller than the sum of its proper divisors (193048416).

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

91329984 is a wasteful number, since it uses less digits than its factorization.

91329984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3147 (or 3131 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 91329984 is about 9556.6722241584. The cubic root of 91329984 is about 450.3371695296.

The spelling of 91329984 in words is "ninety-one million, three hundred twenty-nine thousand, nine hundred eighty-four".