91457216 has 56 divisors (see below), whose sum is σ = 187756800. Its totient is φ = 44174592.

The previous prime is 91457209. The next prime is 91457231. The reversal of 91457216 is 61275419.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 459485 + ... + 459683.

It is an arithmetic number, because the mean of its divisors is an integer number (3352800).

Almost surely, 2^91457216 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 91457216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93878400).

91457216 is an abundant number, since it is smaller than the sum of its proper divisors (96299584).

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

91457216 is a wasteful number, since it uses less digits than its factorization.

91457216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 411 counting only the distinct ones).

The product of its digits is 15120, while the sum is 35.

The square root of 91457216 is about 9563.3266178668. The cubic root of 91457216 is about 450.5461943931.

It can be divided in two parts, 9145 and 7216, that added together give a palindrome (16361).

The spelling of 91457216 in words is "ninety-one million, four hundred fifty-seven thousand, two hundred sixteen".