63144 has 24 divisors (see below), whose sum is σ = 171210. Its totient is φ = 21024.

The previous prime is 63131. The next prime is 63149. The reversal of 63144 is 44136.

It can be written as a sum of positive squares in only one way, i.e., 44100 + 19044 = 210^2 + 138^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 63144.

It is not an unprimeable number, because it can be changed into a prime (63149) by changing a digit.

63144 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, 367 + ... + 510.

2⁶³¹⁴⁴ is an apocalyptic number.

It is an amenable number.

63144 is an abundant number, since it is smaller than the sum of its proper divisors (108066).

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

63144 is a wasteful number, since it uses less digits than its factorization.

63144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 882 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 63144 is about 251.2846990965. The cubic root of 63144 is about 39.8208656362.

The spelling of 63144 in words is "sixty-three thousand, one hundred forty-four".