18948096 has 84 divisors (see below), whose sum is σ = 54948582. Its totient is φ = 6291456.

The previous prime is 18948089. The next prime is 18948121. The reversal of 18948096 is 69084981.

18948096 is a `hidden beast` number, since 1 + 89 + 480 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10653696 + 8294400 = 3264^2 + 2880^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73600 + ... + 73856.

Almost surely, 2^18948096 is an apocalyptic number.

18948096 is a gapful number since it is divisible by the number (16) 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 18948096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27474291).

18948096 is an abundant number, since it is smaller than the sum of its proper divisors (36000486).

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

18948096 is an equidigital number, since it uses as much as digits as its factorization.

18948096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 18948096 is about 4352.9410747218. The cubic root of 18948096 is about 266.5969595578.

The spelling of 18948096 in words is "eighteen million, nine hundred forty-eight thousand, ninety-six".