66781848 has 128 divisors (see below), whose sum is σ = 205632000. Its totient is φ = 17639424.

The previous prime is 66781777. The next prime is 66781849. The reversal of 66781848 is 84818766.

66781848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 66781797 and 66781806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66781849) 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 31 ways as a sum of consecutive naturals, for example, 191178 + ... + 191526.

It is an arithmetic number, because the mean of its divisors is an integer number (1606500).

Almost surely, 2^66781848 is an apocalyptic number.

66781848 is a gapful number since it is divisible by the number (68) 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 66781848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102816000).

66781848 is an abundant number, since it is smaller than the sum of its proper divisors (138850152).

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

66781848 is a wasteful number, since it uses less digits than its factorization.

66781848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 445 counting only the distinct ones).

The product of its digits is 516096, while the sum is 48.

The square root of 66781848 is about 8172.0161527006. The cubic root of 66781848 is about 405.7135173940.

The spelling of 66781848 in words is "sixty-six million, seven hundred eighty-one thousand, eight hundred forty-eight".