66067128 has 48 divisors (see below), whose sum is σ = 179431200. Its totient is φ = 21960960.

The previous prime is 66067121. The next prime is 66067139. The reversal of 66067128 is 82176066.

It is a happy number.

66067128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 66067092 and 66067101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66067121) 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 11 ways as a sum of consecutive naturals, for example, 29968 + ... + 32096.

It is an arithmetic number, because the mean of its divisors is an integer number (3738150).

Almost surely, 2^66067128 is an apocalyptic number.

It is an amenable number.

66067128 is an abundant number, since it is smaller than the sum of its proper divisors (113364072).

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

66067128 is a wasteful number, since it uses less digits than its factorization.

66067128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2572 (or 2565 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 66067128 is about 8128.1687974599. The cubic root of 66067128 is about 404.2609659207.

The spelling of 66067128 in words is "sixty-six million, sixty-seven thousand, one hundred twenty-eight".