8146008 has 80 divisors (see below), whose sum is σ = 24596880. Its totient is φ = 2503872.

The previous prime is 8146007. The next prime is 8146067. The reversal of 8146008 is 8006418.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8146007) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 7941 + ... + 8907.

It is an arithmetic number, because the mean of its divisors is an integer number (307461).

Almost surely, 2^8146008 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 8146008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12298440).

8146008 is an abundant number, since it is smaller than the sum of its proper divisors (16450872).

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

8146008 is a wasteful number, since it uses less digits than its factorization.

8146008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 8146008 is about 2854.1212307819. The cubic root of 8146008 is about 201.2094052863.

The spelling of 8146008 in words is "eight million, one hundred forty-six thousand, eight".