968512 has 28 divisors (see below), whose sum is σ = 1978660. Its totient is φ = 470016.

The previous prime is 968503. The next prime is 968519. The reversal of 968512 is 215869.

It can be written as a sum of positive squares in 2 ways, for example, as 876096 + 92416 = 936^2 + 304^2 .

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968519) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2164 + ... + 2572.

2⁹⁶⁸⁵¹² 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 968512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989330).

968512 is an abundant number, since it is smaller than the sum of its proper divisors (1010148).

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

968512 is a wasteful number, since it uses less digits than its factorization.

968512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 448 counting only the distinct ones).

The product of its digits is 4320, while the sum is 31.

The square root of 968512 is about 984.1300727038. The cubic root of 968512 is about 98.9391865400.

It can be divided in two parts, 968 and 512, that multiplied together give a square (495616 = 704²).

The spelling of 968512 in words is "nine hundred sixty-eight thousand, five hundred twelve".