66504000 has 224 divisors, whose sum is σ = 233940096. Its totient is φ = 16588800.

The previous prime is 66503993. The next prime is 66504007. The reversal of 66504000 is 40566.

66504000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (66503993) and next prime (66504007).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66504007) 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 31 ways as a sum of consecutive naturals, for example, 407919 + ... + 408081.

Almost surely, 2^66504000 is an apocalyptic number.

66504000 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 66504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116970048).

66504000 is an abundant number, since it is smaller than the sum of its proper divisors (167436096).

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

66504000 is a wasteful number, since it uses less digits than its factorization.

66504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 66504000 is about 8154.9984671979. The cubic root of 66504000 is about 405.1500739362.

Adding to 66504000 its reverse (40566), we get a palindrome (66544566).

The spelling of 66504000 in words is "sixty-six million, five hundred four thousand".