66200420 has 96 divisors (see below), whose sum is σ = 165957120. Its totient is φ = 21864960.

The previous prime is 66200411. The next prime is 66200423. The reversal of 66200420 is 2400266.

66200420 = 147² + 148² + ... + 586².

66200420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 66200392 and 66200401.

It is not an unprimeable number, because it can be changed into a prime (66200423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225794 + ... + 226086.

It is an arithmetic number, because the mean of its divisors is an integer number (1728720).

Almost surely, 2^66200420 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 66200420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82978560).

66200420 is an abundant number, since it is smaller than the sum of its proper divisors (99756700).

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

66200420 is a wasteful number, since it uses less digits than its factorization.

66200420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 66200420 is about 8136.3640528187. The cubic root of 66200420 is about 404.5326519918.

Adding to 66200420 its reverse (2400266), we get a palindrome (68600686).

The spelling of 66200420 in words is "sixty-six million, two hundred thousand, four hundred twenty".