66431168 has 56 divisors (see below), whose sum is σ = 136458960. Its totient is φ = 32071680.

The previous prime is 66431143. The next prime is 66431177. The reversal of 66431168 is 86113466.

66431168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 275528 + ... + 275768.

Almost surely, 2^66431168 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 66431168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68229480).

66431168 is an abundant number, since it is smaller than the sum of its proper divisors (70027792).

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

66431168 is a wasteful number, since it uses less digits than its factorization.

66431168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 375 counting only the distinct ones).

The product of its digits is 20736, while the sum is 35.

The square root of 66431168 is about 8150.5317617932. The cubic root of 66431168 is about 405.0021195845.

The spelling of 66431168 in words is "sixty-six million, four hundred thirty-one thousand, one hundred sixty-eight".