868900 has 18 divisors (see below), whose sum is σ = 1885730. Its totient is φ = 347520.

The previous prime is 868891. The next prime is 868909. The reversal of 868900 is 9868.

It is an interprime number because it is at equal distance from previous prime (868891) and next prime (868909).

It can be written as a sum of positive squares in 3 ways, for example, as 186624 + 682276 = 432^2 + 826^2 .

It is not an unprimeable number, because it can be changed into a prime (868909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4245 + ... + 4444.

2⁸⁶⁸⁹⁰⁰ is an apocalyptic number.

It is an amenable number.

868900 is an abundant number, since it is smaller than the sum of its proper divisors (1016830).

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

868900 is a wasteful number, since it uses less digits than its factorization.

868900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8703 (or 8696 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 868900 is about 932.1480569094. The cubic root of 868900 is about 95.4237762437.

Adding to 868900 its product of nonzero digits (3456), we get a square (872356 = 934²).

The spelling of 868900 in words is "eight hundred sixty-eight thousand, nine hundred".