968300 has 36 divisors (see below), whose sum is σ = 2197776. Its totient is φ = 369600.

The previous prime is 968299. The next prime is 968311. The reversal of 968300 is 3869.

It is a happy number.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 968300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2090 + ... + 2510.

2⁹⁶⁸³⁰⁰ 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 968300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098888).

968300 is an abundant number, since it is smaller than the sum of its proper divisors (1229476).

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

968300 is a wasteful number, since it uses less digits than its factorization.

968300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 968300 is about 984.0223574696. The cubic root of 968300 is about 98.9319669984.

The spelling of 968300 in words is "nine hundred sixty-eight thousand, three hundred".