8003856 has 120 divisors (see below), whose sum is σ = 24935904. Its totient is φ = 2204160.

The previous prime is 8003843. The next prime is 8003857. The reversal of 8003856 is 6583008.

It is not an unprimeable number, because it can be changed into a prime (8003857) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96391 + ... + 96473.

Almost surely, 2^8003856 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 8003856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12467952).

8003856 is an abundant number, since it is smaller than the sum of its proper divisors (16932048).

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

8003856 is a wasteful number, since it uses less digits than its factorization.

8003856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 8003856 is about 2829.1086935641. The cubic root of 8003856 is about 200.0321281720.

It can be divided in two parts, 800 and 3856, that added together give a triangular number (4656 = T₉₆).

The spelling of 8003856 in words is "eight million, three thousand, eight hundred fifty-six".