270144 has 84 divisors (see below), whose sum is σ = 898144. Its totient is φ = 76032.

The previous prime is 270143. The next prime is 270157. The reversal of 270144 is 441072.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (84).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3999 + ... + 4065.

2²⁷⁰¹⁴⁴ is an apocalyptic number.

270144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449072).

270144 is an abundant number, since it is smaller than the sum of its proper divisors (628000).

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

270144 is a wasteful number, since it uses less digits than its factorization.

270144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 270144 is about 519.7537878650. The cubic root of 270144 is about 64.6445289772.

It can be divided in two parts, 270 and 144, that added together give a palindrome (414).

The spelling of 270144 in words is "two hundred seventy thousand, one hundred forty-four", and thus it is an iban number.