8009904 has 80 divisors (see below), whose sum is σ = 24442880. Its totient is φ = 2211840.

The previous prime is 8009893. The next prime is 8009927. The reversal of 8009904 is 4099008.

8009904 = T₄₇₇ + T₄₇₈ + ... + T₅₃₈.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 10032 + ... + 10800.

It is an arithmetic number, because the mean of its divisors is an integer number (305536).

Almost surely, 2^8009904 is an apocalyptic number.

8009904 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 8009904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12221440).

8009904 is an abundant number, since it is smaller than the sum of its proper divisors (16432976).

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

8009904 is a wasteful number, since it uses less digits than its factorization.

8009904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 8009904 is about 2830.1773796001. The cubic root of 8009904 is about 200.0824992980.

The spelling of 8009904 in words is "eight million, nine thousand, nine hundred four".