965160 has 96 divisors (see below), whose sum is σ = 3594240. Its totient is φ = 220032.

The previous prime is 965147. The next prime is 965161. The reversal of 965160 is 61569.

965160 is a `hidden beast` number, since 9 + 651 + 6 + 0 = 666.

965160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (965161) by changing a digit.

965160 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, 2329 + ... + 2711.

It is an arithmetic number, because the mean of its divisors is an integer number (37440).

2⁹⁶⁵¹⁶⁰ is an apocalyptic number.

965160 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 965160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797120).

965160 is an abundant number, since it is smaller than the sum of its proper divisors (2629080).

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

965160 is a wasteful number, since it uses less digits than its factorization.

965160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 965160 is about 982.4255696998. The cubic root of 965160 is about 98.8249124456.

The spelling of 965160 in words is "nine hundred sixty-five thousand, one hundred sixty".