66560040 has 192 divisors, whose sum is σ = 234748800. Its totient is φ = 16298496.

The previous prime is 66560029. The next prime is 66560041. The reversal of 66560040 is 4006566.

66560040 is a `hidden beast` number, since 6 + 656 + 0 + 0 + 4 + 0 = 666.

66560040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 66559986 and 66560013.

It is not an unprimeable number, because it can be changed into a prime (66560041) 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, 252949 + ... + 253211.

It is an arithmetic number, because the mean of its divisors is an integer number (1222650).

Almost surely, 2^66560040 is an apocalyptic number.

66560040 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 66560040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117374400).

66560040 is an abundant number, since it is smaller than the sum of its proper divisors (168188760).

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

66560040 is a wasteful number, since it uses less digits than its factorization.

66560040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 66560040 is about 8158.4336731998. The cubic root of 66560040 is about 405.2638427107.

The spelling of 66560040 in words is "sixty-six million, five hundred sixty thousand, forty".