91996164 has 54 divisors (see below), whose sum is σ = 251826666. Its totient is φ = 28304640.

The previous prime is 91996147. The next prime is 91996187. The reversal of 91996164 is 46169919.

It can be written as a sum of positive squares in 3 ways, for example, as 2125764 + 89870400 = 1458^2 + 9480^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1477 + ... + 13644.

Almost surely, 2^91996164 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 91996164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125913333).

91996164 is an abundant number, since it is smaller than the sum of its proper divisors (159830502).

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

91996164 is a wasteful number, since it uses less digits than its factorization.

91996164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15157 (or 15139 counting only the distinct ones).

The product of its digits is 104976, while the sum is 45.

The square root of 91996164 is about 9591.4630792179. The cubic root of 91996164 is about 451.4294691576.

The spelling of 91996164 in words is "ninety-one million, nine hundred ninety-six thousand, one hundred sixty-four".