18576480 has 144 divisors (see below), whose sum is σ = 63640080. Its totient is φ = 4552704.

The previous prime is 18576449. The next prime is 18576491. The reversal of 18576480 is 8467581.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81006 + ... + 81234.

It is an arithmetic number, because the mean of its divisors is an integer number (441945).

Almost surely, 2^18576480 is an apocalyptic number.

18576480 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 18576480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31820040).

18576480 is an abundant number, since it is smaller than the sum of its proper divisors (45063600).

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

18576480 is a wasteful number, since it uses less digits than its factorization.

18576480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 18576480 is about 4310.0440833012. The cubic root of 18576480 is about 264.8425788664.

The spelling of 18576480 in words is "eighteen million, five hundred seventy-six thousand, four hundred eighty".