6506820 has 72 divisors (see below), whose sum is σ = 20291544. Its totient is φ = 1686528.

The previous prime is 6506813. The next prime is 6506881. The reversal of 6506820 is 286056.

6506820 is a `hidden beast` number, since 650 + 6 + 8 + 2 + 0 = 666.

6506820 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3437316 + 3069504 = 1854^2 + 1752^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6172 + ... + 7148.

It is an arithmetic number, because the mean of its divisors is an integer number (281827).

Almost surely, 2^6506820 is an apocalyptic number.

6506820 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6506820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10145772).

6506820 is an abundant number, since it is smaller than the sum of its proper divisors (13784724).

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

6506820 is a wasteful number, since it uses less digits than its factorization.

6506820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 6506820 is about 2550.8469181823. The cubic root of 6506820 is about 186.6908061186.

The spelling of 6506820 in words is "six million, five hundred six thousand, eight hundred twenty".