18768480 has 96 divisors (see below), whose sum is σ = 60183648. Its totient is φ = 4915200.

The previous prime is 18768479. The next prime is 18768499. The reversal of 18768480 is 8486781.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×18768480³ (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28960 + ... + 29600.

It is an arithmetic number, because the mean of its divisors is an integer number (626913).

Almost surely, 2^18768480 is an apocalyptic number.

18768480 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 18768480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30091824).

18768480 is an abundant number, since it is smaller than the sum of its proper divisors (41415168).

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

18768480 is a wasteful number, since it uses less digits than its factorization.

18768480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 712 counting only the distinct ones).

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

The square root of 18768480 is about 4332.2603799864. The cubic root of 18768480 is about 265.7518933275.

The spelling of 18768480 in words is "eighteen million, seven hundred sixty-eight thousand, four hundred eighty".