66244200 has 96 divisors (see below), whose sum is σ = 224048160. Its totient is φ = 16057600.

The previous prime is 66244169. The next prime is 66244201. The reversal of 66244200 is 244266.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66244201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1582 + ... + 11618.

It is an arithmetic number, because the mean of its divisors is an integer number (2333835).

Almost surely, 2^66244200 is an apocalyptic number.

66244200 is a gapful number since it is divisible by the number (60) 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 66244200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112024080).

66244200 is an abundant number, since it is smaller than the sum of its proper divisors (157803960).

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

66244200 is a wasteful number, since it uses less digits than its factorization.

66244200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10067 (or 10058 counting only the distinct ones).

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

The square root of 66244200 is about 8139.0539990837. The cubic root of 66244200 is about 404.6218082077.

Adding to 66244200 its reverse (244266), we get a palindrome (66488466).

The spelling of 66244200 in words is "sixty-six million, two hundred forty-four thousand, two hundred".