966160 has 40 divisors (see below), whose sum is σ = 2421720. Its totient is φ = 356352.

The previous prime is 966157. The next prime is 966191. The reversal of 966160 is 61669.

966160 = T₅₁ + T₅₂ + ... + T₁₈₀.

It is a happy number.

966160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 36864 + 929296 = 192^2 + 964^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 576 + ... + 1504.

It is an arithmetic number, because the mean of its divisors is an integer number (60543).

2⁹⁶⁶¹⁶⁰ 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 966160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210860).

966160 is an abundant number, since it is smaller than the sum of its proper divisors (1455560).

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

966160 is a wasteful number, since it uses less digits than its factorization.

966160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 966160 is about 982.9343823471. The cubic root of 966160 is about 98.8590314177.

The spelling of 966160 in words is "nine hundred sixty-six thousand, one hundred sixty".