6672006 has 48 divisors (see below), whose sum is σ = 16293888. Its totient is φ = 1954800.

The previous prime is 6671989. The next prime is 6672013. The reversal of 6672006 is 6002766.

It is a super-3 number, since 3×6672006³ (a number of 21 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5595 + ... + 6681.

It is an arithmetic number, because the mean of its divisors is an integer number (339456).

Almost surely, 2^6672006 is an apocalyptic number.

6672006 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6672006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8146944).

6672006 is an abundant number, since it is smaller than the sum of its proper divisors (9621882).

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

6672006 is a wasteful number, since it uses less digits than its factorization.

6672006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 6672006 is about 2583.0226479843. The cubic root of 6672006 is about 188.2574374188.

The spelling of 6672006 in words is "six million, six hundred seventy-two thousand, six".