66104460 has 72 divisors (see below), whose sum is σ = 201211920. Its totient is φ = 17566848.

The previous prime is 66104453. The next prime is 66104471. The reversal of 66104460 is 6440166.

66104460 is a `hidden beast` number, since 6 + 610 + 4 + 46 + 0 = 666.

66104460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 79326 + ... + 80154.

It is an arithmetic number, because the mean of its divisors is an integer number (2794610).

Almost surely, 2^66104460 is an apocalyptic number.

66104460 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66104460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100605960).

66104460 is an abundant number, since it is smaller than the sum of its proper divisors (135107460).

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

66104460 is a wasteful number, since it uses less digits than its factorization.

66104460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 66104460 is about 8130.4649313554. The cubic root of 66104460 is about 404.3370957052.

It can be divided in two parts, 66104 and 460, that added together give a square (66564 = 258²).

The spelling of 66104460 in words is "sixty-six million, one hundred four thousand, four hundred sixty".