8102304 has 72 divisors (see below), whose sum is σ = 26339040. Its totient is φ = 2314368.

The previous prime is 8102291. The next prime is 8102309. The reversal of 8102304 is 4032018.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (8102309) 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 11 ways as a sum of consecutive naturals, for example, 7 + ... + 4025.

It is an arithmetic number, because the mean of its divisors is an integer number (365820).

Almost surely, 2^8102304 is an apocalyptic number.

8102304 is a gapful number since it is divisible by the number (84) 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 8102304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13169520).

8102304 is an abundant number, since it is smaller than the sum of its proper divisors (18236736).

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

8102304 is a wasteful number, since it uses less digits than its factorization.

8102304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4042 (or 4031 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 8102304 is about 2846.4546369124. The cubic root of 8102304 is about 200.8489248679.

The spelling of 8102304 in words is "eight million, one hundred two thousand, three hundred four".