66841344 has 108 divisors (see below), whose sum is σ = 196048216. Its totient is φ = 21897216.

The previous prime is 66841339. The next prime is 66841349. The reversal of 66841344 is 44314866.

It is an interprime number because it is at equal distance from previous prime (66841339) and next prime (66841349).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 = 66841299 and 66841308.

It is not an unprimeable number, because it can be changed into a prime (66841349) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154152 + ... + 154584.

Almost surely, 2^66841344 is an apocalyptic number.

66841344 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 66841344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98024108).

66841344 is an abundant number, since it is smaller than the sum of its proper divisors (129206872).

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

66841344 is a wasteful number, since it uses less digits than its factorization.

66841344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 505 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 66841344 is about 8175.6555700445. The cubic root of 66841344 is about 405.8339651275.

The spelling of 66841344 in words is "sixty-six million, eight hundred forty-one thousand, three hundred forty-four".