9286368 has 96 divisors (see below), whose sum is σ = 30030336. Its totient is φ = 2446848.

The previous prime is 9286363. The next prime is 9286379. The reversal of 9286368 is 8636829.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9286363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8205 + ... + 9267.

It is an arithmetic number, because the mean of its divisors is an integer number (312816).

Almost surely, 2^9286368 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 9286368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15015168).

9286368 is an abundant number, since it is smaller than the sum of its proper divisors (20743968).

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

9286368 is a wasteful number, since it uses less digits than its factorization.

9286368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1088 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 9286368 is about 3047.3542623069. The cubic root of 9286368 is about 210.1915712189.

The spelling of 9286368 in words is "nine million, two hundred eighty-six thousand, three hundred sixty-eight".