9249768 has 128 divisors (see below), whose sum is σ = 29808000. Its totient is φ = 2626560.

The previous prime is 9249767. The next prime is 9249781. The reversal of 9249768 is 8679429.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (9249763) 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 31 ways as a sum of consecutive naturals, for example, 40278 + ... + 40506.

It is an arithmetic number, because the mean of its divisors is an integer number (232875).

Almost surely, 2^9249768 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 9249768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14904000).

9249768 is an abundant number, since it is smaller than the sum of its proper divisors (20558232).

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

9249768 is a wasteful number, since it uses less digits than its factorization.

9249768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 262 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 9249768 is about 3041.3431243449. The cubic root of 9249768 is about 209.9150676955.

The spelling of 9249768 in words is "nine million, two hundred forty-nine thousand, seven hundred sixty-eight".