66205128 has 32 divisors (see below), whose sum is σ = 180560160. Its totient is φ = 20062080.

The previous prime is 66205127. The next prime is 66205129. The reversal of 66205128 is 82150266.

It is an interprime number because it is at equal distance from previous prime (66205127) and next prime (66205129).

It is a junction number, because it is equal to n+sod(n) for n = 66205095 and 66205104.

It is not an unprimeable number, because it can be changed into a prime (66205127) 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, 125125 + ... + 125652.

It is an arithmetic number, because the mean of its divisors is an integer number (5642505).

Almost surely, 2^66205128 is an apocalyptic number.

It is an amenable number.

66205128 is an abundant number, since it is smaller than the sum of its proper divisors (114355032).

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

66205128 is a wasteful number, since it uses less digits than its factorization.

66205128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250797 (or 250793 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 66205128 is about 8136.6533660959. The cubic root of 66205128 is about 404.5422415311.

The spelling of 66205128 in words is "sixty-six million, two hundred five thousand, one hundred twenty-eight".