66284064 has 288 divisors, whose sum is σ = 243734400. Its totient is φ = 16934400.

The previous prime is 66284059. The next prime is 66284083. The reversal of 66284064 is 46048266.

It is a happy number.

66284064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1086594 + ... + 1086654.

It is an arithmetic number, because the mean of its divisors is an integer number (846300).

Almost surely, 2^66284064 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 66284064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121867200).

66284064 is an abundant number, since it is smaller than the sum of its proper divisors (177450336).

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

66284064 is a wasteful number, since it uses less digits than its factorization.

66284064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 84 counting only the distinct ones).

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

The square root of 66284064 is about 8141.5025640234. The cubic root of 66284064 is about 404.7029554847.

The spelling of 66284064 in words is "sixty-six million, two hundred eighty-four thousand, sixty-four".