968112 has 70 divisors (see below), whose sum is σ = 2846172. Its totient is φ = 318816.

The previous prime is 968111. The next prime is 968113. The reversal of 968112 is 211869.

968112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (968111) and next prime (968113).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (968111) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 11623 + ... + 11705.

2⁹⁶⁸¹¹² 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 968112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423086).

968112 is an abundant number, since it is smaller than the sum of its proper divisors (1878060).

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

968112 is an equidigital number, since it uses as much as digits as its factorization.

968112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 88 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 968112 is about 983.9268265476. The cubic root of 968112 is about 98.9255638817.

It can be divided in two parts, 9 and 68112, that added together give a square (68121 = 261²).

The spelling of 968112 in words is "nine hundred sixty-eight thousand, one hundred twelve".