6821672 has 64 divisors (see below), whose sum is σ = 15422400. Its totient is φ = 2787840.

The previous prime is 6821671. The next prime is 6821677. The reversal of 6821672 is 2761286.

It is a d-powerful number, because it can be written as 6 + 8³ + 2¹⁹ + 1 + 6⁵ + 7⁸ + 2¹⁹ .

It is not an unprimeable number, because it can be changed into a prime (6821671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76604 + ... + 76692.

It is an arithmetic number, because the mean of its divisors is an integer number (240975).

Almost surely, 2^6821672 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 6821672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7711200).

6821672 is an abundant number, since it is smaller than the sum of its proper divisors (8600728).

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

6821672 is a wasteful number, since it uses less digits than its factorization.

6821672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 182 counting only the distinct ones).

The product of its digits is 8064, while the sum is 32.

The square root of 6821672 is about 2611.8330727671. The cubic root of 6821672 is about 189.6547006383.

The spelling of 6821672 in words is "six million, eight hundred twenty-one thousand, six hundred seventy-two".