18480768 has 128 divisors (see below), whose sum is σ = 55080000. Its totient is φ = 5455872.

The previous prime is 18480757. The next prime is 18480769. The reversal of 18480768 is 86708481.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (18480769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123958 + ... + 124106.

Almost surely, 2^18480768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18480768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27540000).

18480768 is an abundant number, since it is smaller than the sum of its proper divisors (36599232).

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

18480768 is a wasteful number, since it uses less digits than its factorization.

18480768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The square root of 18480768 is about 4298.9263775971. The cubic root of 18480768 is about 264.3869440585.

The spelling of 18480768 in words is "eighteen million, four hundred eighty thousand, seven hundred sixty-eight".