8093904 has 160 divisors (see below), whose sum is σ = 27498240. Its totient is φ = 1990656.

The previous prime is 8093893. The next prime is 8093947. The reversal of 8093904 is 4093908.

It is a super-3 number, since 3×8093904³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74202 + ... + 74310.

It is an arithmetic number, because the mean of its divisors is an integer number (171864).

Almost surely, 2^8093904 is an apocalyptic number.

8093904 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 8093904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13749120).

8093904 is an abundant number, since it is smaller than the sum of its proper divisors (19404336).

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

8093904 is a wasteful number, since it uses less digits than its factorization.

8093904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 8093904 is about 2844.9787345427. The cubic root of 8093904 is about 200.7794913526.

The spelling of 8093904 in words is "eight million, ninety-three thousand, nine hundred four".