9240768 has 84 divisors (see below), whose sum is σ = 27023568. Its totient is φ = 3018240.

The previous prime is 9240767. The next prime is 9240769. The reversal of 9240768 is 8670429.

It is an interprime number because it is at equal distance from previous prime (9240767) and next prime (9240769).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9240767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35005 + ... + 35267.

Almost surely, 2^9240768 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 9240768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13511784).

9240768 is an abundant number, since it is smaller than the sum of its proper divisors (17782800).

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

9240768 is a wasteful number, since it uses less digits than its factorization.

9240768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 9240768 is about 3039.8631548147. The cubic root of 9240768 is about 209.8469633322.

The spelling of 9240768 in words is "nine million, two hundred forty thousand, seven hundred sixty-eight".