18818160 has 80 divisors (see below), whose sum is σ = 59058720. Its totient is φ = 4956160.

The previous prime is 18818131. The next prime is 18818207. The reversal of 18818160 is 6181881.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 20920 + ... + 21800.

It is an arithmetic number, because the mean of its divisors is an integer number (738234).

Almost surely, 2^18818160 is an apocalyptic number.

18818160 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 18818160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29529360).

18818160 is an abundant number, since it is smaller than the sum of its proper divisors (40240560).

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

18818160 is a wasteful number, since it uses less digits than its factorization.

18818160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 33.

The square root of 18818160 is about 4337.9903181081. The cubic root of 18818160 is about 265.9861677093.

The spelling of 18818160 in words is "eighteen million, eight hundred eighteen thousand, one hundred sixty".