66126112 has 48 divisors (see below), whose sum is σ = 143656632. Its totient is φ = 29767680.

The previous prime is 66126097. The next prime is 66126143. The reversal of 66126112 is 21162166.

It can be written as a sum of positive squares in 4 ways, for example, as 19395216 + 46730896 = 4404^2 + 6836^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15118 + ... + 18994.

Almost surely, 2^66126112 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 66126112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71828316).

66126112 is an abundant number, since it is smaller than the sum of its proper divisors (77530520).

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

66126112 is a wasteful number, since it uses less digits than its factorization.

66126112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3941 (or 3933 counting only the distinct ones).

The product of its digits is 864, while the sum is 25.

The square root of 66126112 is about 8131.7963575092. The cubic root of 66126112 is about 404.3812367063.

Adding to 66126112 its reverse (21162166), we get a palindrome (87288278).

The spelling of 66126112 in words is "sixty-six million, one hundred twenty-six thousand, one hundred twelve".