91743264 has 72 divisors (see below), whose sum is σ = 262686060. Its totient is φ = 30371328.

The previous prime is 91743263. The next prime is 91743299. The reversal of 91743264 is 46234719.

It can be written as a sum of positive squares in 2 ways, for example, as 86490000 + 5253264 = 9300^2 + 2292^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (91743263) 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 11 ways as a sum of consecutive naturals, for example, 44202 + ... + 46230.

Almost surely, 2^91743264 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 91743264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131343030).

91743264 is an abundant number, since it is smaller than the sum of its proper divisors (170942796).

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

91743264 is a wasteful number, since it uses less digits than its factorization.

91743264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2202 (or 2191 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 91743264 is about 9578.2704075423. The cubic root of 91743264 is about 451.0154254864.

The spelling of 91743264 in words is "ninety-one million, seven hundred forty-three thousand, two hundred sixty-four".