18516480 has 80 divisors (see below), whose sum is σ = 59219424. Its totient is φ = 4935680.

The previous prime is 18516479. The next prime is 18516499. The reversal of 18516480 is 8461581.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6475 + ... + 8885.

Almost surely, 2^18516480 is an apocalyptic number.

18516480 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 18516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29609712).

18516480 is an abundant number, since it is smaller than the sum of its proper divisors (40702944).

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

18516480 is an equidigital number, since it uses as much as digits as its factorization.

18516480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2437 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 18516480 is about 4303.0779681526. The cubic root of 18516480 is about 264.5571337991.

The spelling of 18516480 in words is "eighteen million, five hundred sixteen thousand, four hundred eighty".