66414200 has 48 divisors (see below), whose sum is σ = 155589000. Its totient is φ = 26363520.

The previous prime is 66414199. The next prime is 66414209. The reversal of 66414200 is 241466.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66414209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26606 + ... + 28994.

Almost surely, 2^66414200 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 66414200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77794500).

66414200 is an abundant number, since it is smaller than the sum of its proper divisors (89174800).

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

66414200 is a wasteful number, since it uses less digits than its factorization.

66414200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2544 (or 2535 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 66414200 is about 8149.4907816378. The cubic root of 66414200 is about 404.9676344608.

Adding to 66414200 its reverse (241466), we get a palindrome (66655666).

The spelling of 66414200 in words is "sixty-six million, four hundred fourteen thousand, two hundred".