66006960 has 80 divisors (see below), whose sum is σ = 205686240. Its totient is φ = 17510400.

The previous prime is 66006959. The next prime is 66006973. The reversal of 66006960 is 6960066.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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, 54360 + ... + 55560.

It is an arithmetic number, because the mean of its divisors is an integer number (2571078).

Almost surely, 2^66006960 is an apocalyptic number.

66006960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66006960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102843120).

66006960 is an abundant number, since it is smaller than the sum of its proper divisors (139679280).

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

66006960 is a wasteful number, since it uses less digits than its factorization.

66006960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 66006960 is about 8124.4667517321. The cubic root of 66006960 is about 404.1382071339.

It can be divided in two parts, 66006 and 960, that added together give a palindrome (66966).

The spelling of 66006960 in words is "sixty-six million, six thousand, nine hundred sixty".