91966500 has 144 divisors (see below), whose sum is σ = 294368256. Its totient is φ = 24168000.

The previous prime is 91966499. The next prime is 91966529. The reversal of 91966500 is 566919.

91966500 is a `hidden beast` number, since 91 + 9 + 66 + 500 = 666.

It is a super-3 number, since 3×91966500³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 481405 + ... + 481595.

It is an arithmetic number, because the mean of its divisors is an integer number (2044224).

Almost surely, 2^91966500 is an apocalyptic number.

91966500 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91966500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147184128).

91966500 is an abundant number, since it is smaller than the sum of its proper divisors (202401756).

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

91966500 is a wasteful number, since it uses less digits than its factorization.

91966500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 91966500 is about 9589.9165794078. The cubic root of 91966500 is about 451.3809430642.

The spelling of 91966500 in words is "ninety-one million, nine hundred sixty-six thousand, five hundred".