91908 has 48 divisors (see below), whose sum is σ = 255360. Its totient is φ = 28512.

The previous prime is 91873. The next prime is 91909. The reversal of 91908 is 80919.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (91909) by changing a digit.

91908 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2466 + ... + 2502.

It is an arithmetic number, because the mean of its divisors is an integer number (5320).

2⁹¹⁹⁰⁸ 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 91908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127680).

91908 is an abundant number, since it is smaller than the sum of its proper divisors (163452).

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

91908 is a wasteful number, since it uses less digits than its factorization.

91908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 91908 is about 303.1633223198. The cubic root of 91908 is about 45.1285214779.

It can be divided in two parts, 91 and 908, that multiplied together give a palindrome (82628).

The spelling of 91908 in words is "ninety-one thousand, nine hundred eight".