18817344 has 168 divisors, whose sum is σ = 66568320. Its totient is φ = 4948992.

The previous prime is 18817301. The next prime is 18817363. The reversal of 18817344 is 44371881.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

Its product of digits (21504) is a multiple of the sum of its prime divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 18817299 and 18817308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52237 + ... + 52595.

It is an arithmetic number, because the mean of its divisors is an integer number (396240).

Almost surely, 2^18817344 is an apocalyptic number.

18817344 is a gapful number since it is divisible by the number (14) 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 18817344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33284160).

18817344 is an abundant number, since it is smaller than the sum of its proper divisors (47750976).

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

18817344 is a wasteful number, since it uses less digits than its factorization.

18817344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 384 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 18817344 is about 4337.8962643198. The cubic root of 18817344 is about 265.9823230569.

The spelling of 18817344 in words is "eighteen million, eight hundred seventeen thousand, three hundred forty-four".