66005901 has 32 divisors (see below), whose sum is σ = 106014720. Its totient is φ = 40347072.

The previous prime is 66005873. The next prime is 66005911. The reversal of 66005901 is 10950066.

66005901 is a `hidden beast` number, since 6 + 600 + 59 + 0 + 1 = 666.

It is not a de Polignac number, because 66005901 - 2⁵ = 66005869 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66005911) 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 31 ways as a sum of consecutive naturals, for example, 60180 + ... + 61266.

It is an arithmetic number, because the mean of its divisors is an integer number (3312960).

Almost surely, 2^66005901 is an apocalyptic number.

It is an amenable number.

66005901 is a deficient number, since it is larger than the sum of its proper divisors (40008819).

66005901 is a wasteful number, since it uses less digits than its factorization.

66005901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 66005901 is about 8124.4015779625. The cubic root of 66005901 is about 404.1360458232.

Adding to 66005901 its reverse (10950066), we get a palindrome (76955967).

The spelling of 66005901 in words is "sixty-six million, five thousand, nine hundred one".