868100 has 18 divisors (see below), whose sum is σ = 1883994. Its totient is φ = 347200.

The previous prime is 868081. The next prime is 868103. The reversal of 868100 is 1868.

868100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 148996 + 719104 = 386^2 + 848^2 .

It is a super-2 number, since 2×868100² = 1507195220000, which contains 22 as substring.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (868103) by changing a digit.

868100 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4241 + ... + 4440.

2⁸⁶⁸¹⁰⁰ is an apocalyptic number.

It is an amenable number.

868100 is an abundant number, since it is smaller than the sum of its proper divisors (1015894).

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

868100 is a wasteful number, since it uses less digits than its factorization.

868100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8695 (or 8688 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 868100 is about 931.7188417114. The cubic root of 868100 is about 95.3944815564.

Adding to 868100 its reverse (1868), we get a palindrome (869968).

The spelling of 868100 in words is "eight hundred sixty-eight thousand, one hundred".