91842336 has 168 divisors, whose sum is σ = 282046464. Its totient is φ = 29393280.

The previous prime is 91842329. The next prime is 91842341. The reversal of 91842336 is 63324819.

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.

It is a self number, because there is not a number n which added to its sum of digits gives 91842336.

It is a congruent number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 723105 + ... + 723231.

It is an arithmetic number, because the mean of its divisors is an integer number (1678848).

Almost surely, 2^91842336 is an apocalyptic number.

91842336 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 91842336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141023232).

91842336 is an abundant number, since it is smaller than the sum of its proper divisors (190204128).

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

91842336 is a wasteful number, since it uses less digits than its factorization.

91842336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 163 counting only the distinct ones).

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

The square root of 91842336 is about 9583.4407182389. The cubic root of 91842336 is about 451.1777150605.

The spelling of 91842336 in words is "ninety-one million, eight hundred forty-two thousand, three hundred thirty-six".