18768960 has 336 divisors, whose sum is σ = 79248000. Its totient is φ = 4064256.

The previous prime is 18768947. The next prime is 18768991. The reversal of 18768960 is 6986781.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 987831 + ... + 987849.

Almost surely, 2^18768960 is an apocalyptic number.

18768960 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 18768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39624000).

18768960 is an abundant number, since it is smaller than the sum of its proper divisors (60479040).

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

18768960 is a wasteful number, since it uses less digits than its factorization.

18768960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 18768960 is about 4332.3157779645. The cubic root of 18768960 is about 265.7541588248.

The spelling of 18768960 in words is "eighteen million, seven hundred sixty-eight thousand, nine hundred sixty".