18683136 has 180 divisors, whose sum is σ = 60099732. Its totient is φ = 5750784.

The previous prime is 18683057. The next prime is 18683143. The reversal of 18683136 is 63138681.

It can be written as a sum of positive squares in 2 ways, for example, as 14017536 + 4665600 = 3744^2 + 2160^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product 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 18683136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 352486 + ... + 352538.

Almost surely, 2^18683136 is an apocalyptic number.

18683136 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 18683136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30049866).

18683136 is an abundant number, since it is smaller than the sum of its proper divisors (41416596).

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

18683136 is an equidigital number, since it uses as much as digits as its factorization.

18683136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 75 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 18683136 is about 4322.3993337034. The cubic root of 18683136 is about 265.3484723790.

Subtracting from 18683136 its product of digits (20736), we obtain a square (18662400 = 4320²).

The spelling of 18683136 in words is "eighteen million, six hundred eighty-three thousand, one hundred thirty-six".