66168128 has 56 divisors (see below), whose sum is σ = 143633952. Its totient is φ = 30057984.

The previous prime is 66168119. The next prime is 66168139. The reversal of 66168128 is 82186166.

It is a junction number, because it is equal to n+sod(n) for n = 66168091 and 66168100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55151 + ... + 56337.

It is an arithmetic number, because the mean of its divisors is an integer number (2564892).

Almost surely, 2^66168128 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 66168128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71816976).

66168128 is an abundant number, since it is smaller than the sum of its proper divisors (77465824).

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

66168128 is a wasteful number, since it uses less digits than its factorization.

66168128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279 (or 1269 counting only the distinct ones).

The product of its digits is 27648, while the sum is 38.

The square root of 66168128 is about 8134.3793862839. The cubic root of 66168128 is about 404.4668654353.

The spelling of 66168128 in words is "sixty-six million, one hundred sixty-eight thousand, one hundred twenty-eight".