18480000 has 320 divisors, whose sum is σ = 76475520. Its totient is φ = 3840000.

The previous prime is 18479959. The next prime is 18480001. The reversal of 18480000 is 8481.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×18480000³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18480001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1679995 + ... + 1680005.

It is an arithmetic number, because the mean of its divisors is an integer number (238986).

Almost surely, 2^18480000 is an apocalyptic number.

18480000 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 18480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38237760).

18480000 is an abundant number, since it is smaller than the sum of its proper divisors (57995520).

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

18480000 is an equidigital number, since it uses as much as digits as its factorization.

18480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 18480000 is about 4298.8370520409. The cubic root of 18480000 is about 264.3832816569.

Adding to 18480000 its reverse (8481), we get a palindrome (18488481).

The spelling of 18480000 in words is "eighteen million, four hundred eighty thousand".