91911456 has 288 divisors, whose sum is σ = 337841280. Its totient is φ = 24095232.

The previous prime is 91911437. The next prime is 91911467. The reversal of 91911456 is 65411919.

It is a tau number, because it is divible by the number of its divisors (288).

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 91911456.

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 47 ways as a sum of consecutive naturals, for example, 550285 + ... + 550451.

It is an arithmetic number, because the mean of its divisors is an integer number (1173060).

Almost surely, 2^91911456 is an apocalyptic number.

91911456 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 91911456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168920640).

91911456 is an abundant number, since it is smaller than the sum of its proper divisors (245929824).

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

91911456 is a wasteful number, since it uses less digits than its factorization.

91911456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 192 counting only the distinct ones).

The product of its digits is 9720, while the sum is 36.

The square root of 91911456 is about 9587.0462604496. The cubic root of 91911456 is about 451.2908712402.

The spelling of 91911456 in words is "ninety-one million, nine hundred eleven thousand, four hundred fifty-six".