91288368 has 120 divisors (see below), whose sum is σ = 274201200. Its totient is φ = 28250112.

The previous prime is 91288367. The next prime is 91288381. The reversal of 91288368 is 86388219.

91288368 is a `hidden beast` number, since 9 + 1 + 288 + 368 = 666.

It is a super-2 number, since 2×91288368² = 16667132264206848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (91288363) 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 23 ways as a sum of consecutive naturals, for example, 217663 + ... + 218081.

It is an arithmetic number, because the mean of its divisors is an integer number (2285010).

Almost surely, 2^91288368 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 91288368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137100600).

91288368 is an abundant number, since it is smaller than the sum of its proper divisors (182912832).

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

91288368 is a wasteful number, since it uses less digits than its factorization.

91288368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 530 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 91288368 is about 9554.4946491167. The cubic root of 91288368 is about 450.2687579736.

The spelling of 91288368 in words is "ninety-one million, two hundred eighty-eight thousand, three hundred sixty-eight".