66414912 has 56 divisors (see below), whose sum is σ = 176491392. Its totient is φ = 22041600.

The previous prime is 66414911. The next prime is 66414913. The reversal of 66414912 is 21941466.

66414912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (66414911) and next prime (66414913).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66414911) by changing a digit.

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, 53337 + ... + 54567.

It is an arithmetic number, because the mean of its divisors is an integer number (3151632).

Almost surely, 2^66414912 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 66414912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88245696).

66414912 is an abundant number, since it is smaller than the sum of its proper divisors (110076480).

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

66414912 is a wasteful number, since it uses less digits than its factorization.

66414912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1517 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 66414912 is about 8149.5344652317. The cubic root of 66414912 is about 404.9690816208.

It can be divided in two parts, 664 and 14912, that added together give a triangular number (15576 = T₁₇₆).

The spelling of 66414912 in words is "sixty-six million, four hundred fourteen thousand, nine hundred twelve".