66042120 has 32 divisors (see below), whose sum is σ = 198126720. Its totient is φ = 17611200.

The previous prime is 66042107. The next prime is 66042133. The reversal of 66042120 is 2124066.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (66042107) and next prime (66042133).

It is a super-2 number, since 2×66042120² = 8723123228188800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 275056 + ... + 275295.

It is an arithmetic number, because the mean of its divisors is an integer number (6191460).

Almost surely, 2^66042120 is an apocalyptic number.

66042120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66042120 is an abundant number, since it is smaller than the sum of its proper divisors (132084600).

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

66042120 is a wasteful number, since it uses less digits than its factorization.

66042120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550365 (or 550361 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 66042120 is about 8126.6302979771. The cubic root of 66042120 is about 404.2099519777.

Adding to 66042120 its reverse (2124066), we get a palindrome (68166186).

The spelling of 66042120 in words is "sixty-six million, forty-two thousand, one hundred twenty".