66845160 has 48 divisors (see below), whose sum is σ = 217247940. Its totient is φ = 17825280.

The previous prime is 66845099. The next prime is 66845161. The reversal of 66845160 is 6154866.

66845160 is a `hidden beast` number, since 66 + 84 + 516 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 66683556 + 161604 = 8166^2 + 402^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (66845161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92481 + ... + 93200.

Almost surely, 2^66845160 is an apocalyptic number.

66845160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66845160 is an abundant number, since it is smaller than the sum of its proper divisors (150402780).

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

66845160 is a wasteful number, since it uses less digits than its factorization.

66845160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185698 (or 185691 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 66845160 is about 8175.8889424943. Note that the first 3 decimals coincide. The cubic root of 66845160 is about 405.8416880569.

The spelling of 66845160 in words is "sixty-six million, eight hundred forty-five thousand, one hundred sixty".