66705848 has 48 divisors (see below), whose sum is σ = 138756240. Its totient is φ = 30039680.

The previous prime is 66705823. The next prime is 66705869. The reversal of 66705848 is 84850766.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 66705799 and 66705808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 132365 + ... + 132867.

It is an arithmetic number, because the mean of its divisors is an integer number (2890755).

Almost surely, 2^66705848 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 66705848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69378120).

66705848 is an abundant number, since it is smaller than the sum of its proper divisors (72050392).

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

66705848 is a wasteful number, since it uses less digits than its factorization.

66705848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 44.

The square root of 66705848 is about 8167.3648136960. The cubic root of 66705848 is about 405.5595537425.

The spelling of 66705848 in words is "sixty-six million, seven hundred five thousand, eight hundred forty-eight".