66240648 has 48 divisors (see below), whose sum is σ = 181197900. Its totient is φ = 21859200.

The previous prime is 66240613. The next prime is 66240673. The reversal of 66240648 is 84604266.

It is a happy number.

66240648 is a `hidden beast` number, since 6 + 6 + 2 + 4 + 0 + 648 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 65901924 + 338724 = 8118^2 + 582^2 .

It is a super-3 number, since 3×66240648³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2718 + ... + 11826.

Almost surely, 2^66240648 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 66240648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90598950).

66240648 is an abundant number, since it is smaller than the sum of its proper divisors (114957252).

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

66240648 is a wasteful number, since it uses less digits than its factorization.

66240648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9222 (or 9215 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 66240648 is about 8138.8357889811. The cubic root of 66240648 is about 404.6145761665.

The spelling of 66240648 in words is "sixty-six million, two hundred forty thousand, six hundred forty-eight".