91766268 has 72 divisors (see below), whose sum is σ = 255768240. Its totient is φ = 27509760.

The previous prime is 91766261. The next prime is 91766273. The reversal of 91766268 is 86266719.

91766268 is a `hidden beast` number, since 9 + 17 + 6 + 626 + 8 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91766261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37218 + ... + 39606.

Almost surely, 2^91766268 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 91766268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127884120).

91766268 is an abundant number, since it is smaller than the sum of its proper divisors (164001972).

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

91766268 is a wasteful number, since it uses less digits than its factorization.

91766268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2507 (or 2502 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 91766268 is about 9579.4711753833. The cubic root of 91766268 is about 451.0531186871.

The spelling of 91766268 in words is "ninety-one million, seven hundred sixty-six thousand, two hundred sixty-eight".