91608 has 32 divisors (see below), whose sum is σ = 250560. Its totient is φ = 27680.

The previous prime is 91591. The next prime is 91621. The reversal of 91608 is 80619.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91 + ... + 437.

It is an arithmetic number, because the mean of its divisors is an integer number (7830).

2⁹¹⁶⁰⁸ 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 91608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125280).

91608 is an abundant number, since it is smaller than the sum of its proper divisors (158952).

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

91608 is a wasteful number, since it uses less digits than its factorization.

91608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 91608 is about 302.6681350919. The cubic root of 91608 is about 45.0793661132.

The spelling of 91608 in words is "ninety-one thousand, six hundred eight".