66668112 has 180 divisors, whose sum is σ = 228323680. Its totient is φ = 17739648.

The previous prime is 66668051. The next prime is 66668143. The reversal of 66668112 is 21186666.

66668112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 nude number because it is divisible by every one of its digits.

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 35 ways as a sum of consecutive naturals, for example, 1129939 + ... + 1129997.

Almost surely, 2^66668112 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 66668112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114161840).

66668112 is an abundant number, since it is smaller than the sum of its proper divisors (161655568).

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

66668112 is a wasteful number, since it uses less digits than its factorization.

66668112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 90 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 66668112 is about 8165.0543170269. The cubic root of 66668112 is about 405.4830632868.

The spelling of 66668112 in words is "sixty-six million, six hundred sixty-eight thousand, one hundred twelve".