6813820 has 48 divisors (see below), whose sum is σ = 15664320. Its totient is φ = 2474496.

The previous prime is 6813817. The next prime is 6813847. The reversal of 6813820 is 283186.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18801 + ... + 19159.

It is an arithmetic number, because the mean of its divisors is an integer number (326340).

Almost surely, 2^6813820 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 6813820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7832160).

6813820 is an abundant number, since it is smaller than the sum of its proper divisors (8850500).

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

6813820 is a wasteful number, since it uses less digits than its factorization.

6813820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 6813820 is about 2610.3294811192. The cubic root of 6813820 is about 189.5819061466.

The spelling of 6813820 in words is "six million, eight hundred thirteen thousand, eight hundred twenty".