66905344 has 72 divisors (see below), whose sum is σ = 152171712. Its totient is φ = 29061120.

The previous prime is 66905341. The next prime is 66905381. The reversal of 66905344 is 44350966.

It is a happy number.

66905344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66905341) 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, 64252 + ... + 65284.

It is an arithmetic number, because the mean of its divisors is an integer number (2113496).

Almost surely, 2^66905344 is an apocalyptic number.

66905344 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66905344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76085856).

66905344 is an abundant number, since it is smaller than the sum of its proper divisors (85266368).

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

66905344 is a wasteful number, since it uses less digits than its factorization.

66905344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The square root of 66905344 is about 8179.5686927857. The cubic root of 66905344 is about 405.9634512951.

The spelling of 66905344 in words is "sixty-six million, nine hundred five thousand, three hundred forty-four".