66240000 has 300 divisors, whose sum is σ = 249276456. Its totient is φ = 16896000.

The previous prime is 66239993. The next prime is 66240001. The reversal of 66240000 is 4266.

66240000 = 126³ + 127³ + ... + 150³.

66240000 is a `hidden beast` number, since 662 + 4 + 0 + 0 + 0 + 0 = 666.

66240000 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 (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66240001) 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 29 ways as a sum of consecutive naturals, for example, 2879989 + ... + 2880011.

Almost surely, 2^66240000 is an apocalyptic number.

66240000 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 66240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124638228).

66240000 is an abundant number, since it is smaller than the sum of its proper divisors (183036456).

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

66240000 is an equidigital number, since it uses as much as digits as its factorization.

66240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 66240000 is about 8138.7959797503. The cubic root of 66240000 is about 404.6132567798.

Adding to 66240000 its reverse (4266), we get a palindrome (66244266).

The spelling of 66240000 in words is "sixty-six million, two hundred forty thousand".