18415120 has 20 divisors (see below), whose sum is σ = 42815340. Its totient is φ = 7366016.

The previous prime is 18415091. The next prime is 18415153. The reversal of 18415120 is 2151481.

It can be written as a sum of positive squares in 2 ways, for example, as 10863616 + 7551504 = 3296^2 + 2748^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×18415120² = 678233289228800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 18415091 and 18415100.

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 3 ways as a sum of consecutive naturals, for example, 115015 + ... + 115174.

It is an arithmetic number, because the mean of its divisors is an integer number (2140767).

Almost surely, 2^18415120 is an apocalyptic number.

18415120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18415120 is an abundant number, since it is smaller than the sum of its proper divisors (24400220).

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

18415120 is a wasteful number, since it uses less digits than its factorization.

18415120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230202 (or 230196 counting only the distinct ones).

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

The square root of 18415120 is about 4291.2841900764. The cubic root of 18415120 is about 264.0735179395.

The spelling of 18415120 in words is "eighteen million, four hundred fifteen thousand, one hundred twenty".