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18848 = 251931

18848 has 24 divisors (see below), whose sum is σ = 40320. Its totient is φ = 8640.

The previous prime is 18839. The next prime is 18859. The reversal of 18848 is 84881.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 18848.

It is a congruent number.

It is an unprimeable number.

18848 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 593 + ... + 623.

It is an arithmetic number, because the mean of its divisors is an integer number (1680).

218848 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 18848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20160).

18848 is an abundant number, since it is smaller than the sum of its proper divisors (21472).

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

18848 is a wasteful number, since it uses less digits than its factorization.

18848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 52 counting only the distinct ones).

The product of its digits is 2048, while the sum is 29.

The square root of 18848 is about 137.2880184138. The cubic root of 18848 is about 26.6126685090.

The spelling of 18848 in words is "eighteen thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 19 31 32 38 62 76 124 152 248 304 496 589 608 992 1178 2356 4712 9424 18848