618144 has 48 divisors (see below), whose sum is σ = 1669248. Its totient is φ = 200192.

The previous prime is 618131. The next prime is 618161. The reversal of 618144 is 441816.

It is a tau number, because it is divible by the number of its divisors (48).

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 an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 618144.

It is an unprimeable number.

618144 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 7 ways as a sum of consecutive naturals, for example, 4444 + ... + 4580.

It is an arithmetic number, because the mean of its divisors is an integer number (34776).

2⁶¹⁸¹⁴⁴ 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 618144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834624).

618144 is an abundant number, since it is smaller than the sum of its proper divisors (1051104).

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

618144 is a wasteful number, since it uses less digits than its factorization.

618144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 189 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 618144 is about 786.2213428800. The cubic root of 618144 is about 85.1850179744.

The spelling of 618144 in words is "six hundred eighteen thousand, one hundred forty-four".