18270720 has 240 divisors, whose sum is σ = 69261192. Its totient is φ = 4423680.

The previous prime is 18270719. The next prime is 18270727. The reversal of 18270720 is 2707281.

It can be written as a sum of positive squares in 4 ways, for example, as 5992704 + 12278016 = 2448^2 + 3504^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (18270727) 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, 299490 + ... + 299550.

Almost surely, 2^18270720 is an apocalyptic number.

18270720 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 18270720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34630596).

18270720 is an abundant number, since it is smaller than the sum of its proper divisors (50990472).

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

18270720 is a wasteful number, since it uses less digits than its factorization.

18270720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 18270720 is about 4274.4262772915. The cubic root of 18270720 is about 263.3814720875.

The spelling of 18270720 in words is "eighteen million, two hundred seventy thousand, seven hundred twenty".