66231200 has 72 divisors (see below), whose sum is σ = 184800672. Its totient is φ = 22705920.

The previous prime is 66231161. The next prime is 66231229. The reversal of 66231200 is 213266.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 314 + ... + 11513.

It is an arithmetic number, because the mean of its divisors is an integer number (2566676).

Almost surely, 2^66231200 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 66231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92400336).

66231200 is an abundant number, since it is smaller than the sum of its proper divisors (118569472).

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

66231200 is a wasteful number, since it uses less digits than its factorization.

66231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11854 (or 11841 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 66231200 is about 8138.2553412878. The cubic root of 66231200 is about 404.5953383300.

Adding to 66231200 its reverse (213266), we get a palindrome (66444466).

The spelling of 66231200 in words is "sixty-six million, two hundred thirty-one thousand, two hundred".