66435057 has 24 divisors (see below), whose sum is σ = 103829544. Its totient is φ = 40690944.

The previous prime is 66435053. The next prime is 66435059. The reversal of 66435057 is 75053466.

66435057 is a `hidden beast` number, since 6 + 643 + 5 + 0 + 5 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6155361 + 60279696 = 2481^2 + 7764^2 .

It is not a de Polignac number, because 66435057 - 2² = 66435053 is a prime.

It is not an unprimeable number, because it can be changed into a prime (66435053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26043 + ... + 28479.

It is an arithmetic number, because the mean of its divisors is an integer number (4326231).

Almost surely, 2^66435057 is an apocalyptic number.

It is an amenable number.

66435057 is a deficient number, since it is larger than the sum of its proper divisors (37394487).

66435057 is a wasteful number, since it uses less digits than its factorization.

66435057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2689 (or 2686 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 66435057 is about 8150.7703316926. The cubic root of 66435057 is about 405.0100226143.

It can be divided in two parts, 664 and 35057, that added together give a square (35721 = 189²).

The spelling of 66435057 in words is "sixty-six million, four hundred thirty-five thousand, fifty-seven".