6820000 has 120 divisors (see below), whose sum is σ = 18893952. Its totient is φ = 2400000.

The previous prime is 6819977. The next prime is 6820001. The reversal of 6820000 is 286.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (6820001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 219985 + ... + 220015.

Almost surely, 2^6820000 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 6820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9446976).

6820000 is an abundant number, since it is smaller than the sum of its proper divisors (12073952).

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

6820000 is a wasteful number, since it uses less digits than its factorization.

6820000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 6820000 is about 2611.5129714401. The cubic root of 6820000 is about 189.6392045072.

Adding to 6820000 its reverse (286), we get a palindrome (6820286).

The spelling of 6820000 in words is "six million, eight hundred twenty thousand".