6820016 has 30 divisors (see below), whose sum is σ = 15372900. Its totient is φ = 2922528.

The previous prime is 6820013. The next prime is 6820019. The reversal of 6820016 is 6100286.

6820016 = T₃₂₃ + T₃₂₄ + ... + T₄₂₀.

It is an interprime number because it is at equal distance from previous prime (6820013) and next prime (6820019).

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 6819973 and 6820000.

It is not an unprimeable number, because it can be changed into a prime (6820013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3566 + ... + 5133.

It is an arithmetic number, because the mean of its divisors is an integer number (512430).

Almost surely, 2^6820016 is an apocalyptic number.

It is an amenable number.

6820016 is an abundant number, since it is smaller than the sum of its proper divisors (8552884).

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

6820016 is a wasteful number, since it uses less digits than its factorization.

6820016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8721 (or 8708 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 6820016 is about 2611.5160347966. The cubic root of 6820016 is about 189.6393528076.

The spelling of 6820016 in words is "six million, eight hundred twenty thousand, sixteen".