18348120 has 160 divisors (see below), whose sum is σ = 70567200. Its totient is φ = 4188672.

The previous prime is 18348107. The next prime is 18348133. The reversal of 18348120 is 2184381.

18348120 is a `hidden beast` number, since 183 + 481 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (18348107) and next prime (18348133).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 22276 + ... + 23084.

It is an arithmetic number, because the mean of its divisors is an integer number (441045).

Almost surely, 2^18348120 is an apocalyptic number.

18348120 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 18348120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35283600).

18348120 is an abundant number, since it is smaller than the sum of its proper divisors (52219080).

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

18348120 is a wasteful number, since it uses less digits than its factorization.

18348120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 18348120 is about 4283.4705555192. The cubic root of 18348120 is about 263.7528679038.

The spelling of 18348120 in words is "eighteen million, three hundred forty-eight thousand, one hundred twenty".