66003120 has 80 divisors (see below), whose sum is σ = 227351520. Its totient is φ = 17600256.

The previous prime is 66003109. The next prime is 66003127. The reversal of 66003120 is 2130066.

It is a happy number.

66003120 is a `hidden beast` number, since 660 + 0 + 3 + 1 + 2 + 0 = 666.

66003120 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 (80).

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 = 66003093 and 66003102.

It is not an unprimeable number, because it can be changed into a prime (66003127) 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 15 ways as a sum of consecutive naturals, for example, 13119 + ... + 17438.

It is an arithmetic number, because the mean of its divisors is an integer number (2841894).

Almost surely, 2^66003120 is an apocalyptic number.

66003120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66003120 is an abundant number, since it is smaller than the sum of its proper divisors (161348400).

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

66003120 is a wasteful number, since it uses less digits than its factorization.

66003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30579 (or 30567 counting only the distinct ones).

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

The square root of 66003120 is about 8124.2304250926. The cubic root of 66003120 is about 404.1303699765.

Adding to 66003120 its reverse (2130066), we get a palindrome (68133186).

The spelling of 66003120 in words is "sixty-six million, three thousand, one hundred twenty".