66034200 has 96 divisors (see below), whose sum is σ = 206303760. Its totient is φ = 17472000.

The previous prime is 66034187. The next prime is 66034207. The reversal of 66034200 is 243066.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66034207) 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, 93850 + ... + 94550.

Almost surely, 2^66034200 is an apocalyptic number.

66034200 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 66034200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103151880).

66034200 is an abundant number, since it is smaller than the sum of its proper divisors (140269560).

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

66034200 is a wasteful number, since it uses less digits than its factorization.

66034200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 66034200 is about 8126.1429965267. The cubic root of 66034200 is about 404.1937932455.

Adding to 66034200 its reverse (243066), we get a palindrome (66277266).

The spelling of 66034200 in words is "sixty-six million, thirty-four thousand, two hundred".