8390304 has 144 divisors (see below), whose sum is σ = 26968032. Its totient is φ = 2550528.

The previous prime is 8390303. The next prime is 8390311. The reversal of 8390304 is 4030938.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (8390303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101047 + ... + 101129.

It is an arithmetic number, because the mean of its divisors is an integer number (187278).

Almost surely, 2^8390304 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 8390304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13484016).

8390304 is an abundant number, since it is smaller than the sum of its proper divisors (18577728).

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

8390304 is a wasteful number, since it uses less digits than its factorization.

8390304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 8390304 is about 2896.6021473444. The cubic root of 8390304 is about 203.2010271302.

The spelling of 8390304 in words is "eight million, three hundred ninety thousand, three hundred four".