91632384 has 126 divisors (see below), whose sum is σ = 274793316. Its totient is φ = 30481920.

The previous prime is 91632377. The next prime is 91632403. The reversal of 91632384 is 48323619.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product 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 13 ways as a sum of consecutive naturals, for example, 186379 + ... + 186869.

Almost surely, 2^91632384 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 91632384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137396658).

91632384 is an abundant number, since it is smaller than the sum of its proper divisors (183160932).

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

91632384 is an frugal number, since it uses more digits than its factorization.

91632384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 496 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 91632384 is about 9572.4805562613. The cubic root of 91632384 is about 450.8336546461.

The spelling of 91632384 in words is "ninety-one million, six hundred thirty-two thousand, three hundred eighty-four".