8046 has 16 divisors (see below), whose sum is σ = 18000. Its totient is φ = 2664.

The previous prime is 8039. The next prime is 8053. The reversal of 8046 is 6408.

It is an interprime number because it is at equal distance from previous prime (8039) and next prime (8053).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

8046 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21 + ... + 128.

It is an arithmetic number, because the mean of its divisors is an integer number (1125).

2⁸⁰⁴⁶ is an apocalyptic number.

8046 is an abundant number, since it is smaller than the sum of its proper divisors (9954).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9000).

8046 is a wasteful number, since it uses less digits than its factorization.

8046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 8046 is about 89.6994983264. The cubic root of 8046 is about 20.0382600949.

The spelling of 8046 in words is "eight thousand, forty-six".