965840 has 20 divisors (see below), whose sum is σ = 2245764. Its totient is φ = 386304.

The previous prime is 965801. The next prime is 965843. The reversal of 965840 is 48569.

It can be written as a sum of positive squares in 2 ways, for example, as 141376 + 824464 = 376^2 + 908^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 965797 and 965806.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 965840.

It is not an unprimeable number, because it can be changed into a prime (965843) by changing a digit.

965840 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5957 + ... + 6116.

2⁹⁶⁵⁸⁴⁰ is an apocalyptic number.

It is an amenable number.

965840 is an abundant number, since it is smaller than the sum of its proper divisors (1279924).

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

965840 is a wasteful number, since it uses less digits than its factorization.

965840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12086 (or 12080 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 965840 is about 982.7715909610. The cubic root of 965840 is about 98.8481159092.

The spelling of 965840 in words is "nine hundred sixty-five thousand, eight hundred forty".