91639296 has 160 divisors (see below), whose sum is σ = 310337280. Its totient is φ = 26155008.

The previous prime is 91639267. The next prime is 91639319. The reversal of 91639296 is 69293619.

It is a happy number.

91639296 is a `hidden beast` number, since 9 + 1 + 639 + 2 + 9 + 6 = 666.

91639296 is nontrivially palindromic in base 5.

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 96295 + ... + 97241.

It is an arithmetic number, because the mean of its divisors is an integer number (1939608).

Almost surely, 2^91639296 is an apocalyptic number.

91639296 is a gapful number since it is divisible by the number (96) 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 91639296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155168640).

91639296 is an abundant number, since it is smaller than the sum of its proper divisors (218697984).

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

91639296 is an equidigital number, since it uses as much as digits as its factorization.

91639296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 959 counting only the distinct ones).

The product of its digits is 157464, while the sum is 45.

The square root of 91639296 is about 9572.8415843991. The cubic root of 91639296 is about 450.8449900996.

The spelling of 91639296 in words is "ninety-one million, six hundred thirty-nine thousand, two hundred ninety-six".