9270768 has 80 divisors (see below), whose sum is σ = 26248320. Its totient is φ = 2802432.

The previous prime is 9270743. The next prime is 9270769. The reversal of 9270768 is 8670729.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9270769) 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 15 ways as a sum of consecutive naturals, for example, 51703 + ... + 51881.

It is an arithmetic number, because the mean of its divisors is an integer number (328104).

Almost surely, 2^9270768 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 9270768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13124160).

9270768 is an abundant number, since it is smaller than the sum of its proper divisors (16977552).

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

9270768 is a wasteful number, since it uses less digits than its factorization.

9270768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 9270768 is about 3044.7935890631. The cubic root of 9270768 is about 210.0738062567.

Subtracting from 9270768 its sum of digits (39), we obtain a palindrome (9270729).

The spelling of 9270768 in words is "nine million, two hundred seventy thousand, seven hundred sixty-eight".