6306820 has 48 divisors (see below), whose sum is σ = 14450688. Its totient is φ = 2298240.

The previous prime is 6306809. The next prime is 6306821. The reversal of 6306820 is 286036.

It is not an unprimeable number, because it can be changed into a prime (6306821) 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 15 ways as a sum of consecutive naturals, for example, 32925 + ... + 33115.

It is an arithmetic number, because the mean of its divisors is an integer number (301056).

Almost surely, 2^6306820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6306820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7225344).

6306820 is an abundant number, since it is smaller than the sum of its proper divisors (8143868).

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

6306820 is a wasteful number, since it uses less digits than its factorization.

6306820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 6306820 is about 2511.3382886421. The cubic root of 6306820 is about 184.7580962941.

The spelling of 6306820 in words is "six million, three hundred six thousand, eight hundred twenty".