66408784 has 40 divisors (see below), whose sum is σ = 142325960. Its totient is φ = 29818368.

The previous prime is 66408761. The next prime is 66408877. The reversal of 66408784 is 48780466.

66408784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 19184400 + 47224384 = 4380^2 + 6872^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 66408784.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 3382 + ... + 12010.

It is an arithmetic number, because the mean of its divisors is an integer number (3558149).

Almost surely, 2^66408784 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 66408784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71162980).

66408784 is an abundant number, since it is smaller than the sum of its proper divisors (75917176).

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

66408784 is a wasteful number, since it uses less digits than its factorization.

66408784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8687 (or 8681 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The square root of 66408784 is about 8149.1584841626. The cubic root of 66408784 is about 404.9566259499.

The spelling of 66408784 in words is "sixty-six million, four hundred eight thousand, seven hundred eighty-four".