18675120 has 40 divisors (see below), whose sum is σ = 57893616. Its totient is φ = 4979968.

The previous prime is 18675091. The next prime is 18675143. The reversal of 18675120 is 2157681.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 38667 + ... + 39146.

Almost surely, 2^18675120 is an apocalyptic number.

18675120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18675120 is an abundant number, since it is smaller than the sum of its proper divisors (39218496).

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

18675120 is a wasteful number, since it uses less digits than its factorization.

18675120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77829 (or 77823 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 18675120 is about 4321.4719714468. The cubic root of 18675120 is about 265.3105176940.

The spelling of 18675120 in words is "eighteen million, six hundred seventy-five thousand, one hundred twenty".