18783648 has 144 divisors (see below), whose sum is σ = 59852520. Its totient is φ = 5548032.

The previous prime is 18783641. The next prime is 18783671. The reversal of 18783648 is 84638781.

It can be written as a sum of positive squares in 4 ways, for example, as 16744464 + 2039184 = 4092^2 + 1428^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (18783641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108490 + ... + 108662.

Almost surely, 2^18783648 is an apocalyptic number.

18783648 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 18783648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29926260).

18783648 is an abundant number, since it is smaller than the sum of its proper divisors (41068872).

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

18783648 is a wasteful number, since it uses less digits than its factorization.

18783648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 220 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 18783648 is about 4334.0106137387. The cubic root of 18783648 is about 265.8234643751.

The spelling of 18783648 in words is "eighteen million, seven hundred eighty-three thousand, six hundred forty-eight".