66126036 has 24 divisors (see below), whose sum is σ = 154425600. Its totient is φ = 22023232.

The previous prime is 66126029. The next prime is 66126043. The reversal of 66126036 is 63062166.

It is an interprime number because it is at equal distance from previous prime (66126029) and next prime (66126043).

It is a junction number, because it is equal to n+sod(n) for n = 66125994 and 66126012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26365 + ... + 28763.

It is an arithmetic number, because the mean of its divisors is an integer number (6434400).

Almost surely, 2^66126036 is an apocalyptic number.

It is an amenable number.

66126036 is an abundant number, since it is smaller than the sum of its proper divisors (88299564).

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

66126036 is a wasteful number, since it uses less digits than its factorization.

66126036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4703 (or 4701 counting only the distinct ones).

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

The square root of 66126036 is about 8131.7916844936. The cubic root of 66126036 is about 404.3810817853.

The spelling of 66126036 in words is "sixty-six million, one hundred twenty-six thousand, thirty-six".