4608768 has 72 divisors (see below), whose sum is σ = 13024368. Its totient is φ = 1441792.

The previous prime is 4608743. The next prime is 4608787. The reversal of 4608768 is 8678064.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12880 + ... + 13232.

It is an arithmetic number, because the mean of its divisors is an integer number (180894).

Almost surely, 2^4608768 is an apocalyptic number.

4608768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4608768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6512184).

4608768 is an abundant number, since it is smaller than the sum of its proper divisors (8415600).

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

4608768 is a wasteful number, since it uses less digits than its factorization.

4608768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 4608768 is about 2146.8041363851. The cubic root of 4608768 is about 166.4159501476.

The spelling of 4608768 in words is "four million, six hundred eight thousand, seven hundred sixty-eight".