91686168 has 320 divisors, whose sum is σ = 329313600. Its totient is φ = 23224320.

The previous prime is 91686167. The next prime is 91686223. The reversal of 91686168 is 86168619.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91686167) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2236228 + ... + 2236268.

It is an arithmetic number, because the mean of its divisors is an integer number (1029105).

Almost surely, 2^91686168 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 91686168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164656800).

91686168 is an abundant number, since it is smaller than the sum of its proper divisors (237627432).

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

91686168 is a wasteful number, since it uses less digits than its factorization.

91686168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 99 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 91686168 is about 9575.2894473222. The cubic root of 91686168 is about 450.9218436091.

The spelling of 91686168 in words is "ninety-one million, six hundred eighty-six thousand, one hundred sixty-eight".