1304008 has 32 divisors (see below), whose sum is σ = 2692800. Its totient is φ = 589248.

The previous prime is 1304003. The next prime is 1304029. The reversal of 1304008 is 8004031.

It is a junction number, because it is equal to n+sod(n) for n = 1303982 and 1304000.

It is not an unprimeable number, because it can be changed into a prime (1304003) 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 7 ways as a sum of consecutive naturals, for example, 3310 + ... + 3682.

It is an arithmetic number, because the mean of its divisors is an integer number (84150).

2^1304008 is an apocalyptic number.

It is an amenable number.

1304008 is an abundant number, since it is smaller than the sum of its proper divisors (1388792).

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

1304008 is a wasteful number, since it uses less digits than its factorization.

1304008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1304008 is about 1141.9316967315. The cubic root of 1304008 is about 109.2513348426.

Adding to 1304008 its reverse (8004031), we get a palindrome (9308039).

The spelling of 1304008 in words is "one million, three hundred four thousand, eight".