18788480 has 64 divisors (see below), whose sum is σ = 46414080. Its totient is φ = 7265280.

The previous prime is 18788467. The next prime is 18788513. The reversal of 18788480 is 8488781.

It is a tau number, because it is divible by the number of its divisors (64).

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, 19367 + ... + 20313.

It is an arithmetic number, because the mean of its divisors is an integer number (725220).

Almost surely, 2^18788480 is an apocalyptic number.

18788480 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 18788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23207040).

18788480 is an abundant number, since it is smaller than the sum of its proper divisors (27625600).

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

18788480 is an equidigital number, since it uses as much as digits as its factorization.

18788480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 44.

The square root of 18788480 is about 4334.5680292274. The cubic root of 18788480 is about 265.8462563421.

The spelling of 18788480 in words is "eighteen million, seven hundred eighty-eight thousand, four hundred eighty".