66300120 has 192 divisors, whose sum is σ = 235872000. Its totient is φ = 16702848.

The previous prime is 66300079. The next prime is 66300131. The reversal of 66300120 is 2100366.

It is a happy number.

66300120 is a `hidden beast` number, since 663 + 0 + 0 + 1 + 2 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 66300093 and 66300102.

It is a congruent number.

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, 184501 + ... + 184859.

It is an arithmetic number, because the mean of its divisors is an integer number (1228500).

Almost surely, 2^66300120 is an apocalyptic number.

66300120 is a gapful number since it is divisible by the number (60) 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 66300120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117936000).

66300120 is an abundant number, since it is smaller than the sum of its proper divisors (169571880).

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

66300120 is a wasteful number, since it uses less digits than its factorization.

66300120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 66300120 is about 8142.4885630868. The cubic root of 66300120 is about 404.7356299350.

Adding to 66300120 its reverse (2100366), we get a palindrome (68400486).

The spelling of 66300120 in words is "sixty-six million, three hundred thousand, one hundred twenty".