10416768 has 32 divisors (see below), whose sum is σ = 27670560. Its totient is φ = 3472128.

The previous prime is 10416761. The next prime is 10416773. The reversal of 10416768 is 86761401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (10416761) 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 3 ways as a sum of consecutive naturals, for example, 13180 + ... + 13947.

It is an arithmetic number, because the mean of its divisors is an integer number (864705).

Almost surely, 2^10416768 is an apocalyptic number.

It is an amenable number.

10416768 is an abundant number, since it is smaller than the sum of its proper divisors (17253792).

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

10416768 is an equidigital number, since it uses as much as digits as its factorization.

10416768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27144 (or 27132 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 10416768 is about 3227.5018202938. The cubic root of 10416768 is about 218.3958243643.

The spelling of 10416768 in words is "ten million, four hundred sixteen thousand, seven hundred sixty-eight".