66420200 has 192 divisors, whose sum is σ = 203558400. Its totient is φ = 19526400.

The previous prime is 66420187. The next prime is 66420223. The reversal of 66420200 is 202466.

66420200 = T₅₅ + T₅₆ + ... + T₇₃₅.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 292487 + ... + 292713.

It is an arithmetic number, because the mean of its divisors is an integer number (1060200).

Almost surely, 2^66420200 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 66420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101779200).

66420200 is an abundant number, since it is smaller than the sum of its proper divisors (137138200).

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

66420200 is a wasteful number, since it uses less digits than its factorization.

66420200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 271 counting only the distinct ones).

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

The square root of 66420200 is about 8149.8588944840. The cubic root of 66420200 is about 404.9798293059.

Adding to 66420200 its reverse (202466), we get a palindrome (66622666).

The spelling of 66420200 in words is "sixty-six million, four hundred twenty thousand, two hundred".