6820506 has 144 divisors (see below), whose sum is σ = 20273760. Its totient is φ = 1632960.

The previous prime is 6820493. The next prime is 6820511. The reversal of 6820506 is 6050286.

It is a self number, because there is not a number n which added to its sum of digits gives 6820506.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 184320 + ... + 184356.

It is an arithmetic number, because the mean of its divisors is an integer number (140790).

Almost surely, 2^6820506 is an apocalyptic number.

6820506 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6820506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10136880).

6820506 is an abundant number, since it is smaller than the sum of its proper divisors (13453254).

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

6820506 is a wasteful number, since it uses less digits than its factorization.

6820506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 79 counting only the distinct ones).

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

The square root of 6820506 is about 2611.6098483502. The cubic root of 6820506 is about 189.6438943931.

The spelling of 6820506 in words is "six million, eight hundred twenty thousand, five hundred six".