66227040 has 288 divisors, whose sum is σ = 255449376. Its totient is φ = 15482880.

The previous prime is 66227017. The next prime is 66227047. The reversal of 66227040 is 4072266.

66227040 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 (288).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 66226995 and 66227013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66227047) 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 47 ways as a sum of consecutive naturals, for example, 586024 + ... + 586136.

It is an arithmetic number, because the mean of its divisors is an integer number (886977).

Almost surely, 2^66227040 is an apocalyptic number.

66227040 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 66227040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127724688).

66227040 is an abundant number, since it is smaller than the sum of its proper divisors (189222336).

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

66227040 is a wasteful number, since it uses less digits than its factorization.

66227040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 66227040 is about 8137.9997542394. Note that the first 3 decimals coincide. The cubic root of 66227040 is about 404.5868672376.

The spelling of 66227040 in words is "sixty-six million, two hundred twenty-seven thousand, forty".