91226016 has 144 divisors (see below), whose sum is σ = 304746624. Its totient is φ = 25339392.

The previous prime is 91225999. The next prime is 91226033. The reversal of 91226016 is 61062219.

It is an interprime number because it is at equal distance from previous prime (91225999) and next prime (91226033).

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73981 + ... + 75203.

It is an arithmetic number, because the mean of its divisors is an integer number (2116296).

Almost surely, 2^91226016 is an apocalyptic number.

91226016 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 91226016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152373312).

91226016 is an abundant number, since it is smaller than the sum of its proper divisors (213520608).

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

91226016 is a wasteful number, since it uses less digits than its factorization.

91226016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 91226016 is about 9551.2311248341. The cubic root of 91226016 is about 450.1662200759.

The spelling of 91226016 in words is "ninety-one million, two hundred twenty-six thousand, sixteen".