66624444 has 60 divisors (see below), whose sum is σ = 177077208. Its totient is φ = 21837600.

The previous prime is 66624443. The next prime is 66624451. The reversal of 66624444 is 44442666.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 66624399 and 66624408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66624443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18079 + ... + 21449.

Almost surely, 2^66624444 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 66624444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88538604).

66624444 is an abundant number, since it is smaller than the sum of its proper divisors (110452764).

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

66624444 is a wasteful number, since it uses less digits than its factorization.

66624444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3448 (or 3437 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 66624444 is about 8162.3798000338. The cubic root of 66624444 is about 405.3945126976.

The spelling of 66624444 in words is "sixty-six million, six hundred twenty-four thousand, four hundred forty-four".