66400848 has 60 divisors (see below), whose sum is σ = 189803328. Its totient is φ = 21660480.

The previous prime is 66400813. The next prime is 66400849. The reversal of 66400848 is 84800466.

66400848 is a `hidden beast` number, since 6 + 640 + 0 + 8 + 4 + 8 = 666.

66400848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66400849) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1863 + ... + 11673.

Almost surely, 2^66400848 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 66400848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94901664).

66400848 is an abundant number, since it is smaller than the sum of its proper divisors (123402480).

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

66400848 is a wasteful number, since it uses less digits than its factorization.

66400848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9872 (or 9863 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 66400848 is about 8148.6715481727. The cubic root of 66400848 is about 404.9404942295.

The spelling of 66400848 in words is "sixty-six million, four hundred thousand, eight hundred forty-eight".