66448160 has 48 divisors (see below), whose sum is σ = 159667200. Its totient is φ = 26125056.

The previous prime is 66448153. The next prime is 66448199. The reversal of 66448160 is 6184466.

It is a self number, because there is not a number n which added to its sum of digits gives 66448160.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5921 + ... + 12959.

It is an arithmetic number, because the mean of its divisors is an integer number (3326400).

Almost surely, 2^66448160 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 66448160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79833600).

66448160 is an abundant number, since it is smaller than the sum of its proper divisors (93219040).

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

66448160 is a wasteful number, since it uses less digits than its factorization.

66448160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7113 (or 7105 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 66448160 is about 8151.5740811208. The cubic root of 66448160 is about 405.0366476008.

The spelling of 66448160 in words is "sixty-six million, four hundred forty-eight thousand, one hundred sixty".