18504960 has 144 divisors (see below), whose sum is σ = 60829440. Its totient is φ = 4792320.

The previous prime is 18504953. The next prime is 18504961. The reversal of 18504960 is 6940581.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18504961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234201 + ... + 234279.

Almost surely, 2^18504960 is an apocalyptic number.

18504960 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 18504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30414720).

18504960 is an abundant number, since it is smaller than the sum of its proper divisors (42324480).

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

18504960 is an equidigital number, since it uses as much as digits as its factorization.

18504960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 18504960 is about 4301.7391831677. The cubic root of 18504960 is about 264.5022578105.

The spelling of 18504960 in words is "eighteen million, five hundred four thousand, nine hundred sixty".