66123200 has 252 divisors, whose sum is σ = 203054712. Its totient is φ = 20889600.

The previous prime is 66123199. The next prime is 66123203. The reversal of 66123200 is 232166.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66123203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3889592 + ... + 3889608.

Almost surely, 2^66123200 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 66123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101527356).

66123200 is an abundant number, since it is smaller than the sum of its proper divisors (136931512).

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

66123200 is a wasteful number, since it uses less digits than its factorization.

66123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 48 counting only the distinct ones).

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

The square root of 66123200 is about 8131.6173053090. The cubic root of 66123200 is about 404.3753006980.

Adding to 66123200 its reverse (232166), we get a palindrome (66355366).

The spelling of 66123200 in words is "sixty-six million, one hundred twenty-three thousand, two hundred".