968968 has 64 divisors (see below), whose sum is σ = 2459520. Its totient is φ = 348480.

The previous prime is 968963. The next prime is 968971. The reversal of 968968 is 869869.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (968963) by changing a digit.

968968 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 15 ways as a sum of consecutive naturals, for example, 74530 + ... + 74542.

It is an arithmetic number, because the mean of its divisors is an integer number (38430).

2⁹⁶⁸⁹⁶⁸ 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 968968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229760).

968968 is an abundant number, since it is smaller than the sum of its proper divisors (1490552).

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

968968 is a wasteful number, since it uses less digits than its factorization.

968968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 33 counting only the distinct ones).

The product of its digits is 186624, while the sum is 46.

The square root of 968968 is about 984.3617221327. The cubic root of 968968 is about 98.9547117961.

Subtracting from 968968 its reverse (869869), we obtain a palindrome (99099).

It can be divided in two parts, 968 and 968, that added together give a square (1936 = 44²).

The spelling of 968968 in words is "nine hundred sixty-eight thousand, nine hundred sixty-eight".