18541120 has 56 divisors (see below), whose sum is σ = 47557944. Its totient is φ = 6844416.

The previous prime is 18541109. The next prime is 18541123. The reversal of 18541120 is 2114581.

It can be written as a sum of positive squares in 4 ways, for example, as 968256 + 17572864 = 984^2 + 4192^2 .

It is a junction number, because it is equal to n+sod(n) for n = 18541091 and 18541100.

It is not an unprimeable number, because it can be changed into a prime (18541123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1932 + ... + 6388.

It is an arithmetic number, because the mean of its divisors is an integer number (849249).

Almost surely, 2^18541120 is an apocalyptic number.

18541120 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 18541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23778972).

18541120 is an abundant number, since it is smaller than the sum of its proper divisors (29016824).

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

18541120 is a wasteful number, since it uses less digits than its factorization.

18541120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4487 (or 4477 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

The square root of 18541120 is about 4305.9400831874. The cubic root of 18541120 is about 264.6744310829.

The spelling of 18541120 in words is "eighteen million, five hundred forty-one thousand, one hundred twenty".