810144 has 72 divisors (see below), whose sum is σ = 2407860. Its totient is φ = 258048.

The previous prime is 810137. The next prime is 810149. The reversal of 810144 is 441018.

It can be written as a sum of positive squares in 2 ways, for example, as 810000 + 144 = 900^2 + 12^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a plaindrome in base 13.

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (810149) by changing a digit.

810144 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 11 ways as a sum of consecutive naturals, for example, 8304 + ... + 8400.

2⁸¹⁰¹⁴⁴ 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 810144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203930).

810144 is an abundant number, since it is smaller than the sum of its proper divisors (1597716).

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

810144 is a wasteful number, since it uses less digits than its factorization.

810144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 810144 is about 900.0799964448. The cubic root of 810144 is about 93.2224988202. Note that the first 3 decimals are identical.

It can be divided in two parts, 81014 and 4, that added together give a palindrome (81018).

The spelling of 810144 in words is "eight hundred ten thousand, one hundred forty-four".