91166000 has 80 divisors (see below), whose sum is σ = 223616640. Its totient is φ = 35942400.

The previous prime is 91165981. The next prime is 91166011. The reversal of 91166000 is 66119.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×91166000² = 16622479112000000, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 157712 + ... + 158288.

It is an arithmetic number, because the mean of its divisors is an integer number (2795208).

Almost surely, 2^91166000 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 91166000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111808320).

91166000 is an abundant number, since it is smaller than the sum of its proper divisors (132450640).

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

91166000 is a wasteful number, since it uses less digits than its factorization.

91166000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 91166000 is about 9548.0888139983. The cubic root of 91166000 is about 450.0674795925.

The spelling of 91166000 in words is "ninety-one million, one hundred sixty-six thousand".