18213120 has 288 divisors, whose sum is σ = 70640640. Its totient is φ = 4423680.

The previous prime is 18213119. The next prime is 18213149. The reversal of 18213120 is 2131281.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 18213093 and 18213102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 587505 + ... + 587535.

It is an arithmetic number, because the mean of its divisors is an integer number (245280).

Almost surely, 2^18213120 is an apocalyptic number.

18213120 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 18213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35320320).

18213120 is an abundant number, since it is smaller than the sum of its proper divisors (52427520).

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

18213120 is a wasteful number, since it uses less digits than its factorization.

18213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 18213120 is about 4267.6832122359. The cubic root of 18213120 is about 263.1044032189.

The spelling of 18213120 in words is "eighteen million, two hundred thirteen thousand, one hundred twenty".