66642224 has 80 divisors (see below), whose sum is σ = 149347584. Its totient is φ = 28512000.

The previous prime is 66642197. The next prime is 66642259. The reversal of 66642224 is 42224666.

66642224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 408767 + ... + 408929.

Almost surely, 2^66642224 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 66642224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74673792).

66642224 is an abundant number, since it is smaller than the sum of its proper divisors (82705360).

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

66642224 is a wasteful number, since it uses less digits than its factorization.

66642224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 300 counting only the distinct ones).

The product of its digits is 27648, while the sum is 32.

The square root of 66642224 is about 8163.4688705231. The cubic root of 66642224 is about 405.4305719020.

It can be divided in two parts, 66642 and 224, that added together give a palindrome (66866).

The spelling of 66642224 in words is "sixty-six million, six hundred forty-two thousand, two hundred twenty-four".