66036126 has 32 divisors (see below), whose sum is σ = 150601248. Its totient is φ = 19123200.

The previous prime is 66036121. The next prime is 66036167. The reversal of 66036126 is 62163066.

It is a junction number, because it is equal to n+sod(n) for n = 66036093 and 66036102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66036121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23575 + ... + 26226.

It is an arithmetic number, because the mean of its divisors is an integer number (4706289).

Almost surely, 2^66036126 is an apocalyptic number.

66036126 is an abundant number, since it is smaller than the sum of its proper divisors (84565122).

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

66036126 is a wasteful number, since it uses less digits than its factorization.

66036126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49836.

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 66036126 is about 8126.2615020685. The cubic root of 66036126 is about 404.1977228743.

The spelling of 66036126 in words is "sixty-six million, thirty-six thousand, one hundred twenty-six".