8008002 has 54 divisors (see below), whose sum is σ = 18784857. Its totient is φ = 2465232.

The previous prime is 8007991. The next prime is 8008009. The reversal of 8008002 is 2008008.

It can be written as a sum of positive squares in 2 ways, for example, as 8003241 + 4761 = 2829^2 + 69^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2001.

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

It is not an unprimeable number, because it can be changed into a prime (8008009) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 276124 + ... + 276152.

Almost surely, 2^8008002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8008002

8008002 is an abundant number, since it is smaller than the sum of its proper divisors (10776855).

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

8008002 is a wasteful number, since it uses less digits than its factorization.

8008002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 8008002 is about 2829.8413383086. The cubic root of 8008002 is about 200.0666611123.

Multiplying 8008002 by its sum of digits (18), we get a square (144144036 = 12006²).

8008002 divided by its sum of digits (18) gives a square (444889 = 667²).

Multiplying 8008002 by its product of nonzero digits (128), we get a square (1025024256 = 32016²).

Multiplying 8008002 by its reverse (2008008), we get a square (16080132080016 = 4010004²).

The spelling of 8008002 in words is "eight million, eight thousand, two".