18838120 has 64 divisors (see below), whose sum is σ = 51004800. Its totient is φ = 6117120.

The previous prime is 18838093. The next prime is 18838121. The reversal of 18838120 is 2183881.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18838121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3550 + ... + 7090.

It is an arithmetic number, because the mean of its divisors is an integer number (796950).

Almost surely, 2^18838120 is an apocalyptic number.

18838120 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 18838120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25502400).

18838120 is an abundant number, since it is smaller than the sum of its proper divisors (32166680).

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

18838120 is a wasteful number, since it uses less digits than its factorization.

18838120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3578 (or 3574 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 31.

The square root of 18838120 is about 4340.2903128708. The cubic root of 18838120 is about 266.0801763325.

The spelling of 18838120 in words is "eighteen million, eight hundred thirty-eight thousand, one hundred twenty".