66004224 has 144 divisors (see below), whose sum is σ = 206721984. Its totient is φ = 18432000.

The previous prime is 66004223. The next prime is 66004231. The reversal of 66004224 is 42240066.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 66004194 and 66004203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66004223) 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, 109524 + ... + 110124.

Almost surely, 2^66004224 is an apocalyptic number.

66004224 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 66004224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103360992).

66004224 is an abundant number, since it is smaller than the sum of its proper divisors (140717760).

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

66004224 is a wasteful number, since it uses less digits than its factorization.

66004224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 66004224 is about 8124.2983697055. The cubic root of 66004224 is about 404.1326231903.

It can be divided in two parts, 660042 and 24, that added together give a palindrome (660066).

The spelling of 66004224 in words is "sixty-six million, four thousand, two hundred twenty-four".