18268120 has 96 divisors (see below), whose sum is σ = 47703600. Its totient is φ = 6241536.

The previous prime is 18268099. The next prime is 18268123. The reversal of 18268120 is 2186281.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18268123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 424819 + ... + 424861.

Almost surely, 2^18268120 is an apocalyptic number.

18268120 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 18268120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23851800).

18268120 is an abundant number, since it is smaller than the sum of its proper divisors (29435480).

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

18268120 is a wasteful number, since it uses less digits than its factorization.

18268120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 18268120 is about 4274.1221320875. The cubic root of 18268120 is about 263.3689780658.

The spelling of 18268120 in words is "eighteen million, two hundred sixty-eight thousand, one hundred twenty".