959688 has 40 divisors (see below), whose sum is σ = 2689830. Its totient is φ = 319680.

The previous prime is 959681. The next prime is 959689. The reversal of 959688 is 886959.

It can be written as a sum of positive squares in only one way, i.e., 842724 + 116964 = 918^2 + 342^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 959688.

It is not an unprimeable number, because it can be changed into a prime (959681) by changing a digit.

959688 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 9 ways as a sum of consecutive naturals, for example, 93 + ... + 1388.

2⁹⁵⁹⁶⁸⁸ 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 959688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344915).

959688 is an abundant number, since it is smaller than the sum of its proper divisors (1730142).

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

959688 is a wasteful number, since it uses less digits than its factorization.

959688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499 (or 1486 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 959688 is about 979.6366673415. The cubic root of 959688 is about 98.6377948963.

It can be divided in two parts, 9596 and 88, that multiplied together give a palindrome (844448).

The spelling of 959688 in words is "nine hundred fifty-nine thousand, six hundred eighty-eight".