91516256 has 48 divisors (see below), whose sum is σ = 195274800. Its totient is φ = 41968128.

The previous prime is 91516181. The next prime is 91516259. The reversal of 91516256 is 65261519.

It is a super-2 number, since 2×91516256² = 16750450224515072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91516259) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 73850 + ... + 75078.

It is an arithmetic number, because the mean of its divisors is an integer number (4068225).

Almost surely, 2^91516256 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 91516256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97637400).

91516256 is an abundant number, since it is smaller than the sum of its proper divisors (103758544).

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

91516256 is a wasteful number, since it uses less digits than its factorization.

91516256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431 (or 1423 counting only the distinct ones).

The product of its digits is 16200, while the sum is 35.

The square root of 91516256 is about 9566.4129118495. The cubic root of 91516256 is about 450.6431232327.

It can be divided in two parts, 915 and 16256, that added together give a palindrome (17171).

The spelling of 91516256 in words is "ninety-one million, five hundred sixteen thousand, two hundred fifty-six".