6906006 has 64 divisors (see below), whose sum is σ = 16588800. Its totient is φ = 2122848.

The previous prime is 6905981. The next prime is 6906007. The reversal of 6906006 is 6006096.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6906007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54315 + ... + 54441.

It is an arithmetic number, because the mean of its divisors is an integer number (259200).

Almost surely, 2^6906006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6906006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8294400).

6906006 is an abundant number, since it is smaller than the sum of its proper divisors (9682794).

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

6906006 is a wasteful number, since it uses less digits than its factorization.

6906006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 6906006 is about 2627.9280812077. The cubic root of 6906006 is about 190.4330473379.

The spelling of 6906006 in words is "six million, nine hundred six thousand, six".