66128128 has 72 divisors (see below), whose sum is σ = 150405696. Its totient is φ = 28723200.

The previous prime is 66128123. The next prime is 66128143. The reversal of 66128128 is 82182166.

It is a junction number, because it is equal to n+sod(n) for n = 66128093 and 66128102.

It is not an unprimeable number, because it can be changed into a prime (66128123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64258 + ... + 65278.

It is an arithmetic number, because the mean of its divisors is an integer number (2088968).

Almost surely, 2^66128128 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 66128128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75202848).

66128128 is an abundant number, since it is smaller than the sum of its proper divisors (84277568).

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

66128128 is a wasteful number, since it uses less digits than its factorization.

66128128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1057 counting only the distinct ones).

The product of its digits is 9216, while the sum is 34.

The square root of 66128128 is about 8131.9203144153. The cubic root of 66128128 is about 404.3853461484.

The spelling of 66128128 in words is "sixty-six million, one hundred twenty-eight thousand, one hundred twenty-eight".