91279296 has 84 divisors (see below), whose sum is σ = 268769592. Its totient is φ = 29597184.

The previous prime is 91279289. The next prime is 91279297. The reversal of 91279296 is 69297219.

91279296 is a `hidden beast` number, since 91 + 279 + 296 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91279297) 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 11 ways as a sum of consecutive naturals, for example, 19171 + ... + 23453.

It is an arithmetic number, because the mean of its divisors is an integer number (3199638).

Almost surely, 2^91279296 is an apocalyptic number.

91279296 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 91279296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134384796).

91279296 is an abundant number, since it is smaller than the sum of its proper divisors (177490296).

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

91279296 is a wasteful number, since it uses less digits than its factorization.

91279296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4338 (or 4325 counting only the distinct ones).

The product of its digits is 122472, while the sum is 45.

The square root of 91279296 is about 9554.0198869376. The cubic root of 91279296 is about 450.2538419677.

It can be divided in two parts, 912 and 79296, that added together give a palindrome (80208).

The spelling of 91279296 in words is "ninety-one million, two hundred seventy-nine thousand, two hundred ninety-six".