864100 has 18 divisors (see below), whose sum is σ = 1875314. Its totient is φ = 345600.

The previous prime is 864091. The next prime is 864103. The reversal of 864100 is 1468.

It can be written as a sum of positive squares in 3 ways, for example, as 2916 + 861184 = 54^2 + 928^2 .

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (864103) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 4221 + ... + 4420.

2⁸⁶⁴¹⁰⁰ is an apocalyptic number.

It is an amenable number.

864100 is an abundant number, since it is smaller than the sum of its proper divisors (1011214).

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

864100 is a wasteful number, since it uses less digits than its factorization.

864100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8655 (or 8648 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 864100 is about 929.5697929688. The cubic root of 864100 is about 95.2477375158.

Adding to 864100 its reverse (1468), we get a palindrome (865568).

It can be divided in two parts, 86 and 4100, that added together give a triangular number (4186 = T₉₁).

The spelling of 864100 in words is "eight hundred sixty-four thousand, one hundred".