66238344 has 128 divisors (see below), whose sum is σ = 195840000. Its totient is φ = 20699712.

The previous prime is 66238343. The next prime is 66238363. The reversal of 66238344 is 44383266.

It is a happy number.

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 = 66238299 and 66238308.

It is not an unprimeable number, because it can be changed into a prime (66238343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 332757 + ... + 332955.

It is an arithmetic number, because the mean of its divisors is an integer number (1530000).

Almost surely, 2^66238344 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 66238344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97920000).

66238344 is an abundant number, since it is smaller than the sum of its proper divisors (129601656).

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

66238344 is a wasteful number, since it uses less digits than its factorization.

66238344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 294 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 66238344 is about 8138.6942441647. The cubic root of 66238344 is about 404.6098849745.

The spelling of 66238344 in words is "sixty-six million, two hundred thirty-eight thousand, three hundred forty-four".