91906164 has 120 divisors (see below), whose sum is σ = 280526400. Its totient is φ = 26227152.

The previous prime is 91906147. The next prime is 91906169. The reversal of 91906164 is 46160919.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91906169) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 110719 + ... + 111545.

It is an arithmetic number, because the mean of its divisors is an integer number (2337720).

Almost surely, 2^91906164 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 91906164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140263200).

91906164 is an abundant number, since it is smaller than the sum of its proper divisors (188620236).

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

91906164 is a wasteful number, since it uses less digits than its factorization.

91906164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 91906164 is about 9586.7702590601. The cubic root of 91906164 is about 451.2822097260.

The spelling of 91906164 in words is "ninety-one million, nine hundred six thousand, one hundred sixty-four".