8304768 has 112 divisors (see below), whose sum is σ = 25084350. Its totient is φ = 2737152.

The previous prime is 8304763. The next prime is 8304773. The reversal of 8304768 is 8674038.

It is an interprime number because it is at equal distance from previous prime (8304763) and next prime (8304773).

It can be written as a sum of positive squares in only one way, i.e., 7884864 + 419904 = 2808^2 + 648^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8304763) 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 13 ways as a sum of consecutive naturals, for example, 93268 + ... + 93356.

Almost surely, 2^8304768 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 8304768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12542175).

8304768 is an abundant number, since it is smaller than the sum of its proper divisors (16779582).

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

8304768 is an frugal number, since it uses more digits than its factorization.

8304768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 8304768 is about 2881.7994378513. The cubic root of 8304768 is about 202.5081478203.

The spelling of 8304768 in words is "eight million, three hundred four thousand, seven hundred sixty-eight".