8002020 has 48 divisors (see below), whose sum is σ = 24131520. Its totient is φ = 1969536.

The previous prime is 8002013. The next prime is 8002051. The reversal of 8002020 is 202008.

It is a Harshad number since it is a multiple of its sum of digits (12).

8002020 is a modest number, since divided by 2020 gives 800 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 8001987 and 8002005.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4350 + ... + 5909.

It is an arithmetic number, because the mean of its divisors is an integer number (502740).

Almost surely, 2^8002020 is an apocalyptic number.

It is an amenable number.

8002020 is an abundant number, since it is smaller than the sum of its proper divisors (16129500).

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

8002020 is a wasteful number, since it uses less digits than its factorization.

8002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10284 (or 10282 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 8002020 is about 2828.7841911323. The cubic root of 8002020 is about 200.0168319167.

Subtracting from 8002020 its sum of digits (12), we obtain a palindrome (8002008).

Adding to 8002020 its reverse (202008), we get a palindrome (8204028).

The spelling of 8002020 in words is "eight million, two thousand, twenty".