968688 has 90 divisors (see below), whose sum is σ = 3201432. Its totient is φ = 267840.

The previous prime is 968663. The next prime is 968689. The reversal of 968688 is 886869.

It is a nude number because it is divisible by every one of its digits.

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 968688.

It is not an unprimeable number, because it can be changed into a prime (968689) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 31233 + ... + 31263.

2⁹⁶⁸⁶⁸⁸ 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 968688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600716).

968688 is an abundant number, since it is smaller than the sum of its proper divisors (2232744).

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

968688 is a wasteful number, since it uses less digits than its factorization.

968688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 43 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 968688 is about 984.2194877160. The cubic root of 968688 is about 98.9451793215.

The spelling of 968688 in words is "nine hundred sixty-eight thousand, six hundred eighty-eight".