66084200 has 96 divisors (see below), whose sum is σ = 189154560. Its totient is φ = 20908800.

The previous prime is 66084149. The next prime is 66084203. The reversal of 66084200 is 248066.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 66084200.

It is not an unprimeable number, because it can be changed into a prime (66084203) 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, 16385 + ... + 20015.

It is an arithmetic number, because the mean of its divisors is an integer number (1970360).

Almost surely, 2^66084200 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 66084200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94577280).

66084200 is an abundant number, since it is smaller than the sum of its proper divisors (123070360).

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

66084200 is a wasteful number, since it uses less digits than its factorization.

66084200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3667 (or 3658 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 66084200 is about 8129.2189046673. The cubic root of 66084200 is about 404.2957837847.

The spelling of 66084200 in words is "sixty-six million, eighty-four thousand, two hundred".