66965766 has 64 divisors (see below), whose sum is σ = 166379520. Its totient is φ = 17534880.

The previous prime is 66965761. The next prime is 66965777. The reversal of 66965766 is 66756966.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66965761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23385 + ... + 26091.

It is an arithmetic number, because the mean of its divisors is an integer number (2599680).

Almost surely, 2^66965766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66965766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83189760).

66965766 is an abundant number, since it is smaller than the sum of its proper divisors (99413754).

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

66965766 is a wasteful number, since it uses less digits than its factorization.

66965766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2769.

The product of its digits is 2449440, while the sum is 51.

The square root of 66965766 is about 8183.2613303010. The cubic root of 66965766 is about 406.0856226187.

The spelling of 66965766 in words is "sixty-six million, nine hundred sixty-five thousand, seven hundred sixty-six".