66905361 has 24 divisors (see below), whose sum is σ = 99716864. Its totient is φ = 43195680.

The previous prime is 66905341. The next prime is 66905381. The reversal of 66905361 is 16350966.

It is an interprime number because it is at equal distance from previous prime (66905341) and next prime (66905381).

It is not a de Polignac number, because 66905361 - 2⁶ = 66905297 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66905341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109920 + ... + 110526.

Almost surely, 2^66905361 is an apocalyptic number.

It is an amenable number.

66905361 is a deficient number, since it is larger than the sum of its proper divisors (32811503).

66905361 is a wasteful number, since it uses less digits than its factorization.

66905361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 66905361 is about 8179.5697319602. The cubic root of 66905361 is about 405.9634856789.

The spelling of 66905361 in words is "sixty-six million, nine hundred five thousand, three hundred sixty-one".