66006912 has 128 divisors (see below), whose sum is σ = 188496000. Its totient is φ = 20404224.

The previous prime is 66006887. The next prime is 66006923. The reversal of 66006912 is 21960066.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 66006912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 605514 + ... + 605622.

It is an arithmetic number, because the mean of its divisors is an integer number (1472625).

Almost surely, 2^66006912 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 66006912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94248000).

66006912 is an abundant number, since it is smaller than the sum of its proper divisors (122489088).

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

66006912 is a wasteful number, since it uses less digits than its factorization.

66006912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 66006912 is about 8124.4637976915. The cubic root of 66006912 is about 404.1381091713.

Adding to 66006912 its reverse (21960066), we get a palindrome (87966978).

The spelling of 66006912 in words is "sixty-six million, six thousand, nine hundred twelve".