6006820 has 24 divisors (see below), whose sum is σ = 12701304. Its totient is φ = 2386176.

The previous prime is 6006817. The next prime is 6006851. The reversal of 6006820 is 286006.

It can be written as a sum of positive squares in 4 ways, for example, as 1016064 + 4990756 = 1008^2 + 2234^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6006791 and 6006800.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2184 + ... + 4096.

It is an arithmetic number, because the mean of its divisors is an integer number (529221).

Almost surely, 2^6006820 is an apocalyptic number.

It is an amenable number.

6006820 is an abundant number, since it is smaller than the sum of its proper divisors (6694484).

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

6006820 is a wasteful number, since it uses less digits than its factorization.

6006820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2079 (or 2077 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 6006820 is about 2450.8814740823. The cubic root of 6006820 is about 181.7808818939.

The spelling of 6006820 in words is "six million, six thousand, eight hundred twenty".