18613344 has 48 divisors (see below), whose sum is σ = 50062320. Its totient is φ = 6051840.

The previous prime is 18613339. The next prime is 18613373. The reversal of 18613344 is 44331681.

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

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

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1572 + ... + 6300.

It is an arithmetic number, because the mean of its divisors is an integer number (1042965).

Almost surely, 2^18613344 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 18613344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25031160).

18613344 is an abundant number, since it is smaller than the sum of its proper divisors (31448976).

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

18613344 is a wasteful number, since it uses less digits than its factorization.

18613344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4783 (or 4775 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 18613344 is about 4314.3184861575. The cubic root of 18613344 is about 265.0176516069.

It can be divided in two parts, 186 and 13344, that added together give a triangular number (13530 = T₁₆₄).

The spelling of 18613344 in words is "eighteen million, six hundred thirteen thousand, three hundred forty-four".