18734144 has 112 divisors (see below), whose sum is σ = 46085760. Its totient is φ = 7434240.

The previous prime is 18734143. The next prime is 18734147. The reversal of 18734144 is 44143781.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 18734144.

It is not an unprimeable number, because it can be changed into a prime (18734141) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 210452 + ... + 210540.

It is an arithmetic number, because the mean of its divisors is an integer number (411480).

Almost surely, 2^18734144 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 18734144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23042880).

18734144 is an abundant number, since it is smaller than the sum of its proper divisors (27351616).

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

18734144 is a wasteful number, since it uses less digits than its factorization.

18734144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 138 counting only the distinct ones).

The product of its digits is 10752, while the sum is 32.

The square root of 18734144 is about 4328.2957385096. The cubic root of 18734144 is about 265.5897344462.

The spelling of 18734144 in words is "eighteen million, seven hundred thirty-four thousand, one hundred forty-four".