18456768 has 112 divisors (see below), whose sum is σ = 59253120. Its totient is φ = 5587200.

The previous prime is 18456743. The next prime is 18456799. The reversal of 18456768 is 86765481.

It is a happy number.

18456768 is a `hidden beast` number, since 1 + 84 + 567 + 6 + 8 = 666.

It is a nialpdrome in base 12.

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, 18523 + ... + 19493.

Almost surely, 2^18456768 is an apocalyptic number.

18456768 is a gapful number since it is divisible by the number (18) 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 18456768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29626560).

18456768 is an abundant number, since it is smaller than the sum of its proper divisors (40796352).

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

18456768 is a wasteful number, since it uses less digits than its factorization.

18456768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 987 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 18456768 is about 4296.1340761201. The cubic root of 18456768 is about 264.2724460138.

The spelling of 18456768 in words is "eighteen million, four hundred fifty-six thousand, seven hundred sixty-eight".