66224900 has 72 divisors (see below), whose sum is σ = 166239360. Its totient is φ = 22429440.

The previous prime is 66224867. The next prime is 66224903. The reversal of 66224900 is 942266.

It is not an unprimeable number, because it can be changed into a prime (66224903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61769 + ... + 62831.

It is an arithmetic number, because the mean of its divisors is an integer number (2308880).

Almost surely, 2^66224900 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 66224900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83119680).

66224900 is an abundant number, since it is smaller than the sum of its proper divisors (100014460).

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

66224900 is a wasteful number, since it uses less digits than its factorization.

66224900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 66224900 is about 8137.8682712366. The cubic root of 66224900 is about 404.5825093739.

The spelling of 66224900 in words is "sixty-six million, two hundred twenty-four thousand, nine hundred".