18630720 has 84 divisors (see below), whose sum is σ = 64091820. Its totient is φ = 4967424.

The previous prime is 18630709. The next prime is 18630727. The reversal of 18630720 is 2703681.

18630720 is a `hidden beast` number, since 1 + 8 + 630 + 7 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3326976 + 15303744 = 1824^2 + 3912^2 .

It is not an unprimeable number, because it can be changed into a prime (18630727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 355 + ... + 6114.

Almost surely, 2^18630720 is an apocalyptic number.

18630720 is a gapful number since it is divisible by the number (10) 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 18630720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32045910).

18630720 is an abundant number, since it is smaller than the sum of its proper divisors (45461100).

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

18630720 is a wasteful number, since it uses less digits than its factorization.

18630720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6492 (or 6479 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 18630720 is about 4316.3317759412. The cubic root of 18630720 is about 265.1000927222.

The spelling of 18630720 in words is "eighteen million, six hundred thirty thousand, seven hundred twenty".