66845088 has 240 divisors, whose sum is σ = 218993544. Its totient is φ = 19906560.

The previous prime is 66845063. The next prime is 66845089. The reversal of 66845088 is 88054866.

66845088 is a `hidden beast` number, since 66 + 84 + 508 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 61027344 + 5817744 = 7812^2 + 2412^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (66845089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1630348 + ... + 1630388.

Almost surely, 2^66845088 is an apocalyptic number.

66845088 is a gapful number since it is divisible by the number (68) 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 66845088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109496772).

66845088 is an abundant number, since it is smaller than the sum of its proper divisors (152148456).

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

66845088 is a wasteful number, since it uses less digits than its factorization.

66845088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 66845088 is about 8175.8845393022. The cubic root of 66845088 is about 405.8415423440.

The spelling of 66845088 in words is "sixty-six million, eight hundred forty-five thousand, eighty-eight".