91822016 has 112 divisors (see below), whose sum is σ = 218480640. Its totient is φ = 37739520.

The previous prime is 91822013. The next prime is 91822037. The reversal of 91822016 is 61022819.

It is a self number, because there is not a number n which added to its sum of digits gives 91822016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91822013) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 722945 + ... + 723071.

It is an arithmetic number, because the mean of its divisors is an integer number (1950720).

Almost surely, 2^91822016 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 91822016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109240320).

91822016 is an abundant number, since it is smaller than the sum of its proper divisors (126658624).

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

91822016 is a wasteful number, since it uses less digits than its factorization.

91822016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 91822016 is about 9582.3804975590. The cubic root of 91822016 is about 451.1444384411.

The spelling of 91822016 in words is "ninety-one million, eight hundred twenty-two thousand, sixteen".