66634656 has 96 divisors (see below), whose sum is σ = 193233600. Its totient is φ = 19937280.

The previous prime is 66634651. The next prime is 66634661. The reversal of 66634656 is 65643666.

It is a happy number.

66634656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (66634651) and next prime (66634661).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (66634651) 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 15 ways as a sum of consecutive naturals, for example, 93630 + ... + 94338.

It is an arithmetic number, because the mean of its divisors is an integer number (2012850).

Almost surely, 2^66634656 is an apocalyptic number.

66634656 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66634656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96616800).

66634656 is an abundant number, since it is smaller than the sum of its proper divisors (126598944).

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

66634656 is a wasteful number, since it uses less digits than its factorization.

66634656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 814 counting only the distinct ones).

The product of its digits is 466560, while the sum is 42.

The square root of 66634656 is about 8163.0053289215. The cubic root of 66634656 is about 405.4152242013.

The spelling of 66634656 in words is "sixty-six million, six hundred thirty-four thousand, six hundred fifty-six".