91226304 has 224 divisors, whose sum is σ = 300410880. Its totient is φ = 26956800.

The previous prime is 91226299. The next prime is 91226309. The reversal of 91226304 is 40362219.

91226304 is a `hidden beast` number, since 9 + 1 + 22 + 630 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (91226299) and next prime (91226309).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (91226309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 696319 + ... + 696449.

It is an arithmetic number, because the mean of its divisors is an integer number (1341120).

Almost surely, 2^91226304 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 91226304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150205440).

91226304 is an abundant number, since it is smaller than the sum of its proper divisors (209184576).

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

91226304 is a wasteful number, since it uses less digits than its factorization.

91226304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 91226304 is about 9551.2462014127. The cubic root of 91226304 is about 450.1666937994.

The spelling of 91226304 in words is "ninety-one million, two hundred twenty-six thousand, three hundred four".