6820680 has 64 divisors (see below), whose sum is σ = 20684160. Its totient is φ = 1799168.

The previous prime is 6820663. The next prime is 6820711. The reversal of 6820680 is 860286.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 13309 + ... + 13811.

It is an arithmetic number, because the mean of its divisors is an integer number (323190).

Almost surely, 2^6820680 is an apocalyptic number.

6820680 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 6820680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10342080).

6820680 is an abundant number, since it is smaller than the sum of its proper divisors (13863480).

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

6820680 is a wasteful number, since it uses less digits than its factorization.

6820680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 6820680 is about 2611.6431609238. The cubic root of 6820680 is about 189.6455070670.

It can be divided in two parts, 68206 and 80, that added together give a palindrome (68286).

The spelling of 6820680 in words is "six million, eight hundred twenty thousand, six hundred eighty".