66084417 has 40 divisors (see below), whose sum is σ = 116740800. Its totient is φ = 36451296.

The previous prime is 66084409. The next prime is 66084419. The reversal of 66084417 is 71448066.

66084417 is a `hidden beast` number, since 6 + 608 + 4 + 41 + 7 = 666.

66084417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 66084417 - 2³ = 66084409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (66084419) 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 39 ways as a sum of consecutive naturals, for example, 14434 + ... + 18452.

It is an arithmetic number, because the mean of its divisors is an integer number (2918520).

Almost surely, 2^66084417 is an apocalyptic number.

It is an amenable number.

66084417 is a deficient number, since it is larger than the sum of its proper divisors (50656383).

66084417 is a wasteful number, since it uses less digits than its factorization.

66084417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4067 (or 4058 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 66084417 is about 8129.2322515721. The cubic root of 66084417 is about 404.2962263115.

It can be divided in two parts, 6608 and 4417, that added together give a square (11025 = 105²).

The spelling of 66084417 in words is "sixty-six million, eighty-four thousand, four hundred seventeen".