66248960 has 72 divisors (see below), whose sum is σ = 161087640. Its totient is φ = 26099712.

The previous prime is 66248957. The next prime is 66248969. The reversal of 66248960 is 6984266.

It can be written as a sum of positive squares in 4 ways, for example, as 1478656 + 64770304 = 1216^2 + 8048^2 .

It is not an unprimeable number, because it can be changed into a prime (66248969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93086 + ... + 93794.

Almost surely, 2^66248960 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 66248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80543820).

66248960 is an abundant number, since it is smaller than the sum of its proper divisors (94838680).

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

66248960 is an equidigital number, since it uses as much as digits as its factorization.

66248960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 66248960 is about 8139.3464111070. The cubic root of 66248960 is about 404.6314993891.

The spelling of 66248960 in words is "sixty-six million, two hundred forty-eight thousand, nine hundred sixty".