66128600 has 24 divisors (see below), whose sum is σ = 153749460. Its totient is φ = 26451360.

The previous prime is 66128599. The next prime is 66128603. The reversal of 66128600 is 682166.

66128600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66128603) 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 5 ways as a sum of consecutive naturals, for example, 165122 + ... + 165521.

Almost surely, 2^66128600 is an apocalyptic number.

It is an amenable number.

66128600 is an abundant number, since it is smaller than the sum of its proper divisors (87620860).

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

66128600 is a wasteful number, since it uses less digits than its factorization.

66128600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330659 (or 330650 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 66128600 is about 8131.9493357989. The cubic root of 66128600 is about 404.3863082677.

The spelling of 66128600 in words is "sixty-six million, one hundred twenty-eight thousand, six hundred".