66064824 has 96 divisors (see below), whose sum is σ = 215280000. Its totient is φ = 17879616.

The previous prime is 66064793. The next prime is 66064829. The reversal of 66064824 is 42846066.

It is a happy number.

66064824 is a `hidden beast` number, since 6 + 6 + 0 + 648 + 2 + 4 = 666.

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 (66064829) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6127 + ... + 13025.

It is an arithmetic number, because the mean of its divisors is an integer number (2242500).

Almost surely, 2^66064824 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 66064824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107640000).

66064824 is an abundant number, since it is smaller than the sum of its proper divisors (149215176).

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

66064824 is a wasteful number, since it uses less digits than its factorization.

66064824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6937 (or 6930 counting only the distinct ones).

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

The square root of 66064824 is about 8128.0270668841. The cubic root of 66064824 is about 404.2562665181.

The spelling of 66064824 in words is "sixty-six million, sixty-four thousand, eight hundred twenty-four".