91824480 has 432 divisors, whose sum is σ = 376451712. Its totient is φ = 20275200.

The previous prime is 91824443. The next prime is 91824503. The reversal of 91824480 is 8442819.

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

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 2962065 + ... + 2962095.

It is an arithmetic number, because the mean of its divisors is an integer number (871416).

Almost surely, 2^91824480 is an apocalyptic number.

91824480 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91824480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188225856).

91824480 is an abundant number, since it is smaller than the sum of its proper divisors (284627232).

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

91824480 is a wasteful number, since it uses less digits than its factorization.

91824480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 91824480 is about 9582.5090660015. The cubic root of 91824480 is about 451.1484738203.

The spelling of 91824480 in words is "ninety-one million, eight hundred twenty-four thousand, four hundred eighty".