968704 has 48 divisors (see below), whose sum is σ = 2162160. Its totient is φ = 430080.

The previous prime is 968699. The next prime is 968713. The reversal of 968704 is 407869.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 968704.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22507 + ... + 22549.

It is an arithmetic number, because the mean of its divisors is an integer number (45045).

2⁹⁶⁸⁷⁰⁴ 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 968704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081080).

968704 is an abundant number, since it is smaller than the sum of its proper divisors (1193456).

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

968704 is a wasteful number, since it uses less digits than its factorization.

968704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 968704 is about 984.2276159507. The cubic root of 968704 is about 98.9457240838.

It can be divided in two parts, 968 and 704, that multiplied together give a cube (681472 = 88³).

The spelling of 968704 in words is "nine hundred sixty-eight thousand, seven hundred four".