66933966 has 32 divisors (see below), whose sum is σ = 148521600. Its totient is φ = 19938080.

The previous prime is 66933961. The next prime is 66933983.

66933966 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66933961) 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 15 ways as a sum of consecutive naturals, for example, 4701 + ... + 12488.

It is an arithmetic number, because the mean of its divisors is an integer number (4641300).

Almost surely, 2^66933966 is an apocalyptic number.

66933966 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

66933966 is an abundant number, since it is smaller than the sum of its proper divisors (81587634).

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

66933966 is a wasteful number, since it uses less digits than its factorization.

66933966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17264.

The product of its digits is 944784, while the sum is 48.

The square root of 66933966 is about 8181.3181089602. The cubic root of 66933966 is about 406.0213332154.

The spelling of 66933966 in words is "sixty-six million, nine hundred thirty-three thousand, nine hundred sixty-six".