66265128 has 96 divisors (see below), whose sum is σ = 188697600. Its totient is φ = 21783168.

The previous prime is 66265127. The next prime is 66265151. The reversal of 66265128 is 82156266.

66265128 is a `hidden beast` number, since 6 + 626 + 5 + 1 + 28 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 66265092 and 66265101.

It is not an unprimeable number, because it can be changed into a prime (66265123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172825 + ... + 173207.

It is an arithmetic number, because the mean of its divisors is an integer number (1965600).

Almost surely, 2^66265128 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 66265128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94348800).

66265128 is an abundant number, since it is smaller than the sum of its proper divisors (122432472).

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

66265128 is a wasteful number, since it uses less digits than its factorization.

66265128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 477 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 66265128 is about 8140.3395506576. The cubic root of 66265128 is about 404.6644133647.

The spelling of 66265128 in words is "sixty-six million, two hundred sixty-five thousand, one hundred twenty-eight".