18630 has 40 divisors (see below), whose sum is σ = 52272. Its totient is φ = 4752.

The previous prime is 18617. The next prime is 18637. The reversal of 18630 is 3681.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18637) by changing a digit.

18630 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 799 + ... + 821.

2¹⁸⁶³⁰ is an apocalyptic number.

18630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26136).

18630 is an abundant number, since it is smaller than the sum of its proper divisors (33642).

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

18630 is a wasteful number, since it uses less digits than its factorization.

18630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 18630 is about 136.4917579929. The cubic root of 18630 is about 26.5096677672.

18630 divided by its sum of digits (18) gives a triangular number (1035 = T₄₅).

It can be divided in two parts, 186 and 30, that added together give a cube (216 = 6³).

The spelling of 18630 in words is "eighteen thousand, six hundred thirty".