8005116 has 48 divisors (see below), whose sum is σ = 21518336. Its totient is φ = 2268864.

The previous prime is 8005103. The next prime is 8005117. The reversal of 8005116 is 6115008.

8005116 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 8005092 and 8005101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8005117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12885 + ... + 13491.

Almost surely, 2^8005116 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 8005116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10759168).

8005116 is an abundant number, since it is smaller than the sum of its proper divisors (13513220).

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

8005116 is a wasteful number, since it uses less digits than its factorization.

8005116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 8005116 is about 2829.3313697763. The cubic root of 8005116 is about 200.0426242486.

The spelling of 8005116 in words is "eight million, five thousand, one hundred sixteen".