66734688 has 48 divisors (see below), whose sum is σ = 184403520. Its totient is φ = 21073536.

The previous prime is 66734687. The next prime is 66734711. The reversal of 66734688 is 88643766.

It is a happy number.

66734688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66734683) 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 7 ways as a sum of consecutive naturals, for example, 16470 + ... + 20117.

It is an arithmetic number, because the mean of its divisors is an integer number (3841740).

Almost surely, 2^66734688 is an apocalyptic number.

It is an amenable number.

66734688 is an abundant number, since it is smaller than the sum of its proper divisors (117668832).

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

66734688 is a wasteful number, since it uses less digits than its factorization.

66734688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36619 (or 36611 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 66734688 is about 8169.1301862561. The cubic root of 66734688 is about 405.6179926583.

The spelling of 66734688 in words is "sixty-six million, seven hundred thirty-four thousand, six hundred eighty-eight".