18120960 has 324 divisors, whose sum is σ = 74215596. Its totient is φ = 4055040.

The previous prime is 18120959. The next prime is 18120967. The reversal of 18120960 is 6902181.

It can be written as a sum of positive squares in 2 ways, for example, as 4460544 + 13660416 = 2112^2 + 3696^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18120967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1393914 + ... + 1393926.

Almost surely, 2^18120960 is an apocalyptic number.

18120960 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 18120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37107798).

18120960 is an abundant number, since it is smaller than the sum of its proper divisors (56094636).

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

18120960 is a wasteful number, since it uses less digits than its factorization.

18120960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 18120960 is about 4256.8720911016. The cubic root of 18120960 is about 262.6598753974.

The spelling of 18120960 in words is "eighteen million, one hundred twenty thousand, nine hundred sixty".