968320 has 64 divisors (see below), whose sum is σ = 2478600. Its totient is φ = 360448.

The previous prime is 968311. The next prime is 968321. The reversal of 968320 is 23869.

It can be written as a sum of positive squares in 4 ways, for example, as 760384 + 207936 = 872^2 + 456^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (968321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10836 + ... + 10924.

2⁹⁶⁸³²⁰ 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 968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239300).

968320 is an abundant number, since it is smaller than the sum of its proper divisors (1510280).

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

968320 is a wasteful number, since it uses less digits than its factorization.

968320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 968320 is about 984.0325197878. The cubic root of 968320 is about 98.9326481322.

The spelling of 968320 in words is "nine hundred sixty-eight thousand, three hundred twenty".