20064006 has 48 divisors (see below), whose sum is σ = 46021248. Its totient is φ = 6307200.

The previous prime is 20064001. The next prime is 20064017. The reversal of 20064006 is 60046002.

20064006 is a `hidden beast` number, since 20 + 0 + 640 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 20064006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20064001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22440 + ... + 23316.

It is an arithmetic number, because the mean of its divisors is an integer number (958776).

Almost surely, 2^20064006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20064006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23010624).

20064006 is an abundant number, since it is smaller than the sum of its proper divisors (25957242).

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

20064006 is a wasteful number, since it uses less digits than its factorization.

20064006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 20064006 is about 4479.2863270838. The cubic root of 20064006 is about 271.7310183325.

The spelling of 20064006 in words is "twenty million, sixty-four thousand, six".