66075648 has 88 divisors (see below), whose sum is σ = 178531152. Its totient is φ = 21725184.

The previous prime is 66075629. The next prime is 66075661. The reversal of 66075648 is 84657066.

It is a happy number.

It is a zygodrome in base 2 and base 4.

It is a congruent number.

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, 420786 + ... + 420942.

Almost surely, 2^66075648 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 66075648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89265576).

66075648 is an abundant number, since it is smaller than the sum of its proper divisors (112455504).

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

66075648 is a wasteful number, since it uses less digits than its factorization.

66075648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 66075648 is about 8128.6928838529. The cubic root of 66075648 is about 404.2783429708.

The spelling of 66075648 in words is "sixty-six million, seventy-five thousand, six hundred forty-eight".