18505120 has 24 divisors (see below), whose sum is σ = 43718724. Its totient is φ = 7401984.

The previous prime is 18505117. The next prime is 18505127. The reversal of 18505120 is 2150581.

It can be written as a sum of positive squares in 2 ways, for example, as 17606416 + 898704 = 4196^2 + 948^2 .

It is a junction number, because it is equal to n+sod(n) for n = 18505091 and 18505100.

It is not an unprimeable number, because it can be changed into a prime (18505127) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 57669 + ... + 57988.

Almost surely, 2^18505120 is an apocalyptic number.

18505120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18505120 is an abundant number, since it is smaller than the sum of its proper divisors (25213604).

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

18505120 is a wasteful number, since it uses less digits than its factorization.

18505120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115672 (or 115664 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 22.

The square root of 18505120 is about 4301.7577802568. The cubic root of 18505120 is about 264.5030201329.

The spelling of 18505120 in words is "eighteen million, five hundred five thousand, one hundred twenty".