968900 has 18 divisors (see below), whose sum is σ = 2102730. Its totient is φ = 387520.

The previous prime is 968897. The next prime is 968909. The reversal of 968900 is 9869.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 73984 + 894916 = 272^2 + 946^2 .

It is an Ulam number.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (968909) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4745 + ... + 4944.

2⁹⁶⁸⁹⁰⁰ is an apocalyptic number.

It is an amenable number.

968900 is an abundant number, since it is smaller than the sum of its proper divisors (1133830).

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

968900 is a wasteful number, since it uses less digits than its factorization.

968900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9703 (or 9696 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 968900 is about 984.3271813782. The cubic root of 968900 is about 98.9523969354.

The spelling of 968900 in words is "nine hundred sixty-eight thousand, nine hundred".