66410112 has 64 divisors (see below), whose sum is σ = 177651360. Its totient is φ = 21980160.

The previous prime is 66410101. The next prime is 66410129. The reversal of 66410112 is 21101466.

66410112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 4.

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, 62062 + ... + 63122.

Almost surely, 2^66410112 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 66410112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88825680).

66410112 is an abundant number, since it is smaller than the sum of its proper divisors (111241248).

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

66410112 is a wasteful number, since it uses less digits than its factorization.

66410112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 66410112 is about 8149.2399645611. The cubic root of 66410112 is about 404.9593252856.

Adding to 66410112 its reverse (21101466), we get a palindrome (87511578).

The spelling of 66410112 in words is "sixty-six million, four hundred ten thousand, one hundred twelve".