18463120 has 80 divisors (see below), whose sum is σ = 47465712. Its totient is φ = 6635520.

The previous prime is 18463099. The next prime is 18463121. The reversal of 18463120 is 2136481.

It can be written as a sum of positive squares in 8 ways, for example, as 8952064 + 9511056 = 2992^2 + 3084^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (18463121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42424 + ... + 42856.

Almost surely, 2^18463120 is an apocalyptic number.

18463120 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 18463120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23732856).

18463120 is an abundant number, since it is smaller than the sum of its proper divisors (29002592).

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

18463120 is a wasteful number, since it uses less digits than its factorization.

18463120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 18463120 is about 4296.8732818178. The cubic root of 18463120 is about 264.3027594836.

The spelling of 18463120 in words is "eighteen million, four hundred sixty-three thousand, one hundred twenty".