966960 has 120 divisors (see below), whose sum is σ = 3481920. Its totient is φ = 239616.

The previous prime is 966937. The next prime is 966961. The reversal of 966960 is 69669.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (966961) by changing a digit.

966960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12201 + ... + 12279.

It is an arithmetic number, because the mean of its divisors is an integer number (29016).

2⁹⁶⁶⁹⁶⁰ is an apocalyptic number.

966960 is a gapful number since it is divisible by the number (90) 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 966960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740960).

966960 is an abundant number, since it is smaller than the sum of its proper divisors (2514960).

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

966960 is a wasteful number, since it uses less digits than its factorization.

966960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 966960 is about 983.3412429060. The cubic root of 966960 is about 98.8863096486.

It can be divided in two parts, 96 and 6960, that added together give a square (7056 = 84²).

The spelling of 966960 in words is "nine hundred sixty-six thousand, nine hundred sixty".