66171136 has 36 divisors (see below), whose sum is σ = 134603532. Its totient is φ = 32454656.

The previous prime is 66171107. The next prime is 66171151. The reversal of 66171136 is 63117166.

It can be written as a sum of positive squares in 2 ways, for example, as 32993536 + 33177600 = 5744^2 + 5760^2 .

It is a junction number, because it is equal to n+sod(n) for n = 66171098 and 66171107.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 11130 + ... + 16006.

It is an arithmetic number, because the mean of its divisors is an integer number (3738987).

Almost surely, 2^66171136 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 66171136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67301766).

66171136 is an abundant number, since it is smaller than the sum of its proper divisors (68432396).

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

66171136 is an equidigital number, since it uses as much as digits as its factorization.

66171136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4946 (or 4932 counting only the distinct ones).

The product of its digits is 4536, while the sum is 31.

The square root of 66171136 is about 8134.5642784356. The cubic root of 66171136 is about 404.4729943574.

The spelling of 66171136 in words is "sixty-six million, one hundred seventy-one thousand, one hundred thirty-six".