6668820 has 36 divisors (see below), whose sum is σ = 20229300. Its totient is φ = 1778304.

The previous prime is 6668807. The next prime is 6668821. The reversal of 6668820 is 288666.

It can be written as a sum of positive squares in 2 ways, for example, as 1633284 + 5035536 = 1278^2 + 2244^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6668821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18345 + ... + 18704.

It is an arithmetic number, because the mean of its divisors is an integer number (561925).

Almost surely, 2^6668820 is an apocalyptic number.

6668820 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6668820 is an abundant number, since it is smaller than the sum of its proper divisors (13560480).

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

6668820 is a wasteful number, since it uses less digits than its factorization.

6668820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37064 (or 37059 counting only the distinct ones).

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

The square root of 6668820 is about 2582.4058550119. The cubic root of 6668820 is about 188.2274672374.

It can be divided in two parts, 66 and 68820, that added together give a palindrome (68886).

The spelling of 6668820 in words is "six million, six hundred sixty-eight thousand, eight hundred twenty".