66493056 has 128 divisors (see below), whose sum is σ = 209059200. Its totient is φ = 18321408.

The previous prime is 66493039. The next prime is 66493061. The reversal of 66493056 is 65039466.

It is a happy number.

66493056 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 (128).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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, 77526 + ... + 78378.

It is an arithmetic number, because the mean of its divisors is an integer number (1633275).

Almost surely, 2^66493056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66493056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104529600).

66493056 is an abundant number, since it is smaller than the sum of its proper divisors (142566144).

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

66493056 is a wasteful number, since it uses less digits than its factorization.

66493056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The square root of 66493056 is about 8154.3274400774. The cubic root of 66493056 is about 405.1278486783.

The spelling of 66493056 in words is "sixty-six million, four hundred ninety-three thousand, fifty-six".