6722820 has 144 divisors (see below), whose sum is σ = 23390640. Its totient is φ = 1557504.

The previous prime is 6722819. The next prime is 6722839. The reversal of 6722820 is 282276.

It can be written as a sum of positive squares in 8 ways, for example, as 4137156 + 2585664 = 2034^2 + 1608^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 395452 + ... + 395468.

It is an arithmetic number, because the mean of its divisors is an integer number (162435).

Almost surely, 2^6722820 is an apocalyptic number.

6722820 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 6722820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11695320).

6722820 is an abundant number, since it is smaller than the sum of its proper divisors (16667820).

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

6722820 is a wasteful number, since it uses less digits than its factorization.

6722820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 6722820 is about 2592.8401416208. The cubic root of 6722820 is about 188.7341521422.

The spelling of 6722820 in words is "six million, seven hundred twenty-two thousand, eight hundred twenty".