9408768 has 36 divisors (see below), whose sum is σ = 25043088. Its totient is φ = 3136000.

The previous prime is 9408757. The next prime is 9408799. The reversal of 9408768 is 8678049.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5358 + ... + 6893.

Almost surely, 2^9408768 is an apocalyptic number.

It is an amenable number.

9408768 is an abundant number, since it is smaller than the sum of its proper divisors (15634320).

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

9408768 is a wasteful number, since it uses less digits than its factorization.

9408768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12270 (or 12256 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 9408768 is about 3067.3715132015. The cubic root of 9408768 is about 211.1110277213. Note that the first 3 decimals are identical.

It can be divided in two parts, 9408 and 768, that multiplied together give a square (7225344 = 2688²).

The spelling of 9408768 in words is "nine million, four hundred eight thousand, seven hundred sixty-eight".