6686820 has 192 divisors, whose sum is σ = 24998400. Its totient is φ = 1451520.

The previous prime is 6686789. The next prime is 6686843. The reversal of 6686820 is 286866.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109590 + ... + 109650.

It is an arithmetic number, because the mean of its divisors is an integer number (130200).

Almost surely, 2^6686820 is an apocalyptic number.

6686820 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 6686820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12499200).

6686820 is an abundant number, since it is smaller than the sum of its proper divisors (18311580).

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

6686820 is a wasteful number, since it uses less digits than its factorization.

6686820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 6686820 is about 2585.8886286923. Note that the first 3 decimals coincide. The cubic root of 6686820 is about 188.3966651201.

6686820 divided by its sum of digits (36) gives a triangular number (185745 = T₆₀₉).

The spelling of 6686820 in words is "six million, six hundred eighty-six thousand, eight hundred twenty".