66424128 has 56 divisors (see below), whose sum is σ = 176430432. Its totient is φ = 22055424.

The previous prime is 66424109. The next prime is 66424129. The reversal of 66424128 is 82142466.

66424128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66424129) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 66126 + ... + 67122.

Almost surely, 2^66424128 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 66424128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88215216).

66424128 is an abundant number, since it is smaller than the sum of its proper divisors (110006304).

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

66424128 is a wasteful number, since it uses less digits than its factorization.

66424128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1349 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 66424128 is about 8150.0998766886. The cubic root of 66424128 is about 404.9878124667.

The spelling of 66424128 in words is "sixty-six million, four hundred twenty-four thousand, one hundred twenty-eight".