66960 has 80 divisors (see below), whose sum is σ = 238080. Its totient is φ = 17280.

The previous prime is 66959. The next prime is 66973. The reversal of 66960 is 6966.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2145 + ... + 2175.

It is an arithmetic number, because the mean of its divisors is an integer number (2976).

2⁶⁶⁹⁶⁰ is an apocalyptic number.

66960 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 66960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119040).

66960 is an abundant number, since it is smaller than the sum of its proper divisors (171120).

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

66960 is a wasteful number, since it uses less digits than its factorization.

66960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 66960 is about 258.7663038342. The cubic root of 66960 is about 40.6073967126.

It can be divided in two parts, 669 and 60, that added together give a 6-th power (729 = 3⁶).

The spelling of 66960 in words is "sixty-six thousand, nine hundred sixty".