4066200 has 120 divisors (see below), whose sum is σ = 14178780. Its totient is φ = 1080000.

The previous prime is 4066187. The next prime is 4066219. The reversal of 4066200 is 26604.

4066200 is a `hidden beast` number, since 4 + 0 + 662 + 0 + 0 = 666.

4066200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 16075 + ... + 16325.

Almost surely, 2^4066200 is an apocalyptic number.

4066200 is a gapful number since it is divisible by the number (40) 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 4066200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7089390).

4066200 is an abundant number, since it is smaller than the sum of its proper divisors (10112580).

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

4066200 is a wasteful number, since it uses less digits than its factorization.

4066200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4066200 is about 2016.4820852167. The cubic root of 4066200 is about 159.6110343437.

The spelling of 4066200 in words is "four million, sixty-six thousand, two hundred".