18268920 has 96 divisors (see below), whose sum is σ = 61326720. Its totient is φ = 4711680.

The previous prime is 18268891. The next prime is 18268963. The reversal of 18268920 is 2986281.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10342 + ... + 11978.

It is an arithmetic number, because the mean of its divisors is an integer number (638820).

It is a vampire number, since it can be written as 1860 ⋅ 9822 (with its own digits).

Almost surely, 2^18268920 is an apocalyptic number.

18268920 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 18268920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30663360).

18268920 is an abundant number, since it is smaller than the sum of its proper divisors (43057800).

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

18268920 is a wasteful number, since it uses less digits than its factorization.

18268920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1685 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 18268920 is about 4274.2157175323. The cubic root of 18268920 is about 263.3728225064.

The spelling of 18268920 in words is "eighteen million, two hundred sixty-eight thousand, nine hundred twenty".