8002152 has 80 divisors (see below), whose sum is σ = 22934340. Its totient is φ = 2605824.

The previous prime is 8002151. The next prime is 8002177. The reversal of 8002152 is 2512008.

It can be written as a sum of positive squares in 2 ways, for example, as 7986276 + 15876 = 2826^2 + 126^2 .

It is a super-2 number, since 2×8002152² = 128068873262208, which contains 22 as substring.

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 (8002151) 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, 34228 + ... + 34460.

Almost surely, 2^8002152 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 8002152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11467170).

8002152 is an abundant number, since it is smaller than the sum of its proper divisors (14932188).

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

8002152 is a wasteful number, since it uses less digits than its factorization.

8002152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 8002152 is about 2828.8075226144. The cubic root of 8002152 is about 200.0179317256.

The spelling of 8002152 in words is "eight million, two thousand, one hundred fifty-two".