6672816 has 60 divisors (see below), whose sum is σ = 18860400. Its totient is φ = 2202240.

The previous prime is 6672803. The next prime is 6672817. The reversal of 6672816 is 6182766.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (6672817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21301 + ... + 21611.

It is an arithmetic number, because the mean of its divisors is an integer number (314340).

Almost surely, 2^6672816 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 6672816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9430200).

6672816 is an abundant number, since it is smaller than the sum of its proper divisors (12187584).

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

6672816 is a wasteful number, since it uses less digits than its factorization.

6672816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 465 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 6672816 is about 2583.1794362762. The cubic root of 6672816 is about 188.2650554352.

The spelling of 6672816 in words is "six million, six hundred seventy-two thousand, eight hundred sixteen".