66844224 has 112 divisors (see below), whose sum is σ = 198973440. Its totient is φ = 22003200.

The previous prime is 66844171. The next prime is 66844229. The reversal of 66844224 is 42244866.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (66844229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174337 + ... + 174719.

Almost surely, 2^66844224 is an apocalyptic number.

66844224 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 66844224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99486720).

66844224 is an abundant number, since it is smaller than the sum of its proper divisors (132129216).

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

66844224 is a wasteful number, since it uses less digits than its factorization.

66844224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 489 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 66844224 is about 8175.8317008119. The cubic root of 66844224 is about 405.8397937807.

The spelling of 66844224 in words is "sixty-six million, eight hundred forty-four thousand, two hundred twenty-four".