8002620 has 72 divisors (see below), whose sum is σ = 25343136. Its totient is φ = 2040192.

The previous prime is 8002573. The next prime is 8002627. The reversal of 8002620 is 262008.

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

It is a junction number, because it is equal to n+sod(n) for n = 8002593 and 8002602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8002627) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3174 + ... + 5106.

It is an arithmetic number, because the mean of its divisors is an integer number (351988).

Almost surely, 2^8002620 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 8002620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12671568).

8002620 is an abundant number, since it is smaller than the sum of its proper divisors (17340516).

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

8002620 is a wasteful number, since it uses less digits than its factorization.

8002620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1971 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 8002620 is about 2828.8902417733. The cubic root of 8002620 is about 200.0218309503.

Adding to 8002620 its reverse (262008), we get a palindrome (8264628).

The spelling of 8002620 in words is "eight million, two thousand, six hundred twenty".