636144 has 40 divisors (see below), whose sum is σ = 1703760. Its totient is φ = 204288.

The previous prime is 636137. The next prime is 636149. The reversal of 636144 is 441636.

636144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 636144.

It is not an unprimeable number, because it can be changed into a prime (636149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1164 + ... + 1620.

It is an arithmetic number, because the mean of its divisors is an integer number (42594).

2⁶³⁶¹⁴⁴ 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 636144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851880).

636144 is an abundant number, since it is smaller than the sum of its proper divisors (1067616).

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

636144 is a wasteful number, since it uses less digits than its factorization.

636144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 491 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 636144 is about 797.5863589606. The cubic root of 636144 is about 86.0039659249.

It can be divided in two parts, 636 and 144, that added together give a triangular number (780 = T₃₉).

The spelling of 636144 in words is "six hundred thirty-six thousand, one hundred forty-four".