8021008 has 40 divisors (see below), whose sum is σ = 16920792. Its totient is φ = 3667968.

The previous prime is 8021003. The next prime is 8021009. The reversal of 8021008 is 8001208.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3810304 + 4210704 = 1952^2 + 2052^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8021003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9666 + ... + 10462.

Almost surely, 2^8021008 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 8021008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8460396).

8021008 is an abundant number, since it is smaller than the sum of its proper divisors (8899784).

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

8021008 is a wasteful number, since it uses less digits than its factorization.

8021008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 8021008 is about 2832.1384146966. The cubic root of 8021008 is about 200.1749136481.

The spelling of 8021008 in words is "eight million, twenty-one thousand, eight".