18144160 has 48 divisors (see below), whose sum is σ = 43206912. Its totient is φ = 7200000.

The previous prime is 18144157. The next prime is 18144173. The reversal of 18144160 is 6144181.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23785 + ... + 24535.

It is an arithmetic number, because the mean of its divisors is an integer number (900144).

Almost surely, 2^18144160 is an apocalyptic number.

18144160 is a gapful number since it is divisible by the number (10) 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 18144160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21603456).

18144160 is an abundant number, since it is smaller than the sum of its proper divisors (25062752).

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

18144160 is a wasteful number, since it uses less digits than its factorization.

18144160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 18144160 is about 4259.5962249960. The cubic root of 18144160 is about 262.7719207930.

The spelling of 18144160 in words is "eighteen million, one hundred forty-four thousand, one hundred sixty".