180630 has 40 divisors (see below), whose sum is σ = 487872. Its totient is φ = 47952.

The previous prime is 180629. The next prime is 180647. The reversal of 180630 is 36081.

180630 = 211² + 212² + ... + 214².

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

It is a plaindrome in base 11.

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, 699 + ... + 921.

2¹⁸⁰⁶³⁰ is an apocalyptic number.

180630 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 180630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243936).

180630 is an abundant number, since it is smaller than the sum of its proper divisors (307242).

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

180630 is a wasteful number, since it uses less digits than its factorization.

180630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 233 counting only the distinct ones).

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

The square root of 180630 is about 425.0058823122. The cubic root of 180630 is about 56.5279575527.

The spelling of 180630 in words is "one hundred eighty thousand, six hundred thirty".