91842816 has 72 divisors (see below), whose sum is σ = 263267200. Its totient is φ = 28256256.

The previous prime is 91842809. The next prime is 91842889. The reversal of 91842816 is 61824819.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 7 ways as a sum of consecutive naturals, for example, 5385 + ... + 14583.

Almost surely, 2^91842816 is an apocalyptic number.

91842816 is a gapful number since it is divisible by the number (96) 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 91842816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131633600).

91842816 is an abundant number, since it is smaller than the sum of its proper divisors (171424384).

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

91842816 is a wasteful number, since it uses less digits than its factorization.

91842816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9231 (or 9217 counting only the distinct ones).

The product of its digits is 27648, while the sum is 39.

The square root of 91842816 is about 9583.4657614039. The cubic root of 91842816 is about 451.1785010630.

It can be divided in two parts, 918 and 42816, that added together give a palindrome (43734).

The spelling of 91842816 in words is "ninety-one million, eight hundred forty-two thousand, eight hundred sixteen".