8002644 has 48 divisors (see below), whose sum is σ = 20594112. Its totient is φ = 2403072.

The previous prime is 8002639. The next prime is 8002649. The reversal of 8002644 is 4462008.

It is an interprime number because it is at equal distance from previous prime (8002639) and next prime (8002649).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8002649) 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 15 ways as a sum of consecutive naturals, for example, 6112 + ... + 7304.

It is an arithmetic number, because the mean of its divisors is an integer number (429044).

Almost surely, 2^8002644 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 8002644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10297056).

8002644 is an abundant number, since it is smaller than the sum of its proper divisors (12591468).

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

8002644 is a wasteful number, since it uses less digits than its factorization.

8002644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 8002644 is about 2828.8944837162. The cubic root of 8002644 is about 200.0220309064.

It can be divided in two parts, 8002 and 644, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 8002644 in words is "eight million, two thousand, six hundred forty-four".