965688 has 16 divisors (see below), whose sum is σ = 2414280. Its totient is φ = 321888.

The previous prime is 965677. The next prime is 965711. The reversal of 965688 is 886569.

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 965688.

It is an unprimeable 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, 20095 + ... + 20142.

2⁹⁶⁵⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

965688 is an abundant number, since it is smaller than the sum of its proper divisors (1448592).

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

965688 is a wasteful number, since it uses less digits than its factorization.

965688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40246 (or 40242 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 965688 is about 982.6942556055. The cubic root of 965688 is about 98.8429301980.

It can be divided in two parts, 965 and 688, that added together give a triangular number (1653 = T₅₇).

The spelling of 965688 in words is "nine hundred sixty-five thousand, six hundred eighty-eight".