9168768 has 128 divisors (see below), whose sum is σ = 31008000. Its totient is φ = 2612736.

The previous prime is 9168767. The next prime is 9168769. The reversal of 9168768 is 8678619.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9168767) and next prime (9168769).

It is a tau number, because it is divible by the number of its divisors (128).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9168767) 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, 24003 + ... + 24381.

It is an arithmetic number, because the mean of its divisors is an integer number (242250).

Almost surely, 2^9168768 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 9168768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15504000).

9168768 is an abundant number, since it is smaller than the sum of its proper divisors (21839232).

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

9168768 is a wasteful number, since it uses less digits than its factorization.

9168768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 391 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 9168768 is about 3027.9973579909. The cubic root of 9168768 is about 209.3005299277.

The spelling of 9168768 in words is "nine million, one hundred sixty-eight thousand, seven hundred sixty-eight".