66946960 has 40 divisors (see below), whose sum is σ = 156614976. Its totient is φ = 26613120.

The previous prime is 66946931. The next prime is 66946961. The reversal of 66946960 is 6964966.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 66946960.

It is not an unprimeable number, because it can be changed into a prime (66946961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10855 + ... + 15865.

Almost surely, 2^66946960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66946960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78307488).

66946960 is an abundant number, since it is smaller than the sum of its proper divisors (89668016).

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

66946960 is a wasteful number, since it uses less digits than its factorization.

66946960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5191 (or 5185 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 46.

The square root of 66946960 is about 8182.1121967375. The cubic root of 66946960 is about 406.0476053766.

The spelling of 66946960 in words is "sixty-six million, nine hundred forty-six thousand, nine hundred sixty".