66306905 has 16 divisors (see below), whose sum is σ = 94072320. Its totient is φ = 43899072.

The previous prime is 66306901. The next prime is 66306943. The reversal of 66306905 is 50960366.

It is not a de Polignac number, because 66306905 - 2² = 66306901 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (66306901) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31649 + ... + 33678.

It is an arithmetic number, because the mean of its divisors is an integer number (5879520).

Almost surely, 2^66306905 is an apocalyptic number.

It is an amenable number.

66306905 is a deficient number, since it is larger than the sum of its proper divisors (27765415).

66306905 is a wasteful number, since it uses less digits than its factorization.

66306905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65368.

The product of its (nonzero) digits is 29160, while the sum is 35.

The square root of 66306905 is about 8142.9051940938. The cubic root of 66306905 is about 404.7494360316.

The spelling of 66306905 in words is "sixty-six million, three hundred six thousand, nine hundred five".