66611792 has 40 divisors (see below), whose sum is σ = 139590024. Its totient is φ = 30610944.

The previous prime is 66611789. The next prime is 66611813. The reversal of 66611792 is 29711666.

66611792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 34621456 + 31990336 = 5884^2 + 5656^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60398 + ... + 61490.

Almost surely, 2^66611792 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 66611792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69795012).

66611792 is an abundant number, since it is smaller than the sum of its proper divisors (72978232).

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

66611792 is a wasteful number, since it uses less digits than its factorization.

66611792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407 (or 1401 counting only the distinct ones).

The product of its digits is 27216, while the sum is 38.

The square root of 66611792 is about 8161.6047441664. The cubic root of 66611792 is about 405.3688495637.

The spelling of 66611792 in words is "sixty-six million, six hundred eleven thousand, seven hundred ninety-two".