91387296 has 288 divisors, whose sum is σ = 350034048. Its totient is φ = 21841920.

The previous prime is 91387277. The next prime is 91387297. The reversal of 91387296 is 69278319.

91387296 is nontrivially palindromic in base 5.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91387297) 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 47 ways as a sum of consecutive naturals, for example, 288130 + ... + 288446.

It is an arithmetic number, because the mean of its divisors is an integer number (1215396).

Almost surely, 2^91387296 is an apocalyptic number.

91387296 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 91387296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175017024).

91387296 is an abundant number, since it is smaller than the sum of its proper divisors (258646752).

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

91387296 is a wasteful number, since it uses less digits than its factorization.

91387296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 353 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 91387296 is about 9559.6702872013. The cubic root of 91387296 is about 450.4313493591.

It can be divided in two parts, 913 and 87296, that added together give a square (88209 = 297²).

The spelling of 91387296 in words is "ninety-one million, three hundred eighty-seven thousand, two hundred ninety-six".