18234880 has 80 divisors (see below), whose sum is σ = 46403280. Its totient is φ = 6848512.

The previous prime is 18234877. The next prime is 18234893. The reversal of 18234880 is 8843281.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×18234880² = 665021697228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43311 + ... + 43729.

It is an arithmetic number, because the mean of its divisors is an integer number (580041).

Almost surely, 2^18234880 is an apocalyptic number.

18234880 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 18234880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23201640).

18234880 is an abundant number, since it is smaller than the sum of its proper divisors (28168400).

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

18234880 is an equidigital number, since it uses as much as digits as its factorization.

18234880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 18234880 is about 4270.2318438230. The cubic root of 18234880 is about 263.2091422439.

The spelling of 18234880 in words is "eighteen million, two hundred thirty-four thousand, eight hundred eighty".