91434096 has 180 divisors, whose sum is σ = 290427592. Its totient is φ = 27713664.

The previous prime is 91434089. The next prime is 91434103. The reversal of 91434096 is 69043419.

It is an interprime number because it is at equal distance from previous prime (91434089) and next prime (91434103).

It is a super-2 number, since 2×91434096² = 16720387822674432, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 91434096.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1364655 + ... + 1364721.

Almost surely, 2^91434096 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 91434096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145213796).

91434096 is an abundant number, since it is smaller than the sum of its proper divisors (198993496).

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

91434096 is an equidigital number, since it uses as much as digits as its factorization.

91434096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 91434096 is about 9562.1177570662. The cubic root of 91434096 is about 450.5082257984.

The spelling of 91434096 in words is "ninety-one million, four hundred thirty-four thousand, ninety-six".