968576 has 64 divisors (see below), whose sum is σ = 2350080. Its totient is φ = 388608.

The previous prime is 968573. The next prime is 968593. The reversal of 968576 is 675869.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968573) 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, 20585 + ... + 20631.

It is an arithmetic number, because the mean of its divisors is an integer number (36720).

2⁹⁶⁸⁵⁷⁶ 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 968576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175040).

968576 is an abundant number, since it is smaller than the sum of its proper divisors (1381504).

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

968576 is a wasteful number, since it uses less digits than its factorization.

968576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 79 counting only the distinct ones).

The product of its digits is 90720, while the sum is 41.

The square root of 968576 is about 984.1625881936. The cubic root of 968576 is about 98.9413658173.

The spelling of 968576 in words is "nine hundred sixty-eight thousand, five hundred seventy-six".