965120 has 80 divisors (see below), whose sum is σ = 2577960. Its totient is φ = 344064.

The previous prime is 965117. The next prime is 965131. The reversal of 965120 is 21569.

It can be written as a sum of positive squares in 4 ways, for example, as 614656 + 350464 = 784^2 + 592^2 .

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

It is a super-2 number, since 2×965120² = 1862913228800, which contains 22 as substring.

It is a nialpdrome in base 16.

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, 33266 + ... + 33294.

2⁹⁶⁵¹²⁰ 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 965120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288980).

965120 is an abundant number, since it is smaller than the sum of its proper divisors (1612840).

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

965120 is a wasteful number, since it uses less digits than its factorization.

965120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 965120 is about 982.4052117126. The cubic root of 965120 is about 98.8235471967.

Adding to 965120 its reverse (21569), we get a palindrome (986689).

The spelling of 965120 in words is "nine hundred sixty-five thousand, one hundred twenty".