18672960 has 112 divisors (see below), whose sum is σ = 60569856. Its totient is φ = 4872192.

The previous prime is 18672949. The next prime is 18673003. The reversal of 18672960 is 6927681.

It is a congruent number.

It is an unprimeable number.

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, 50697 + ... + 51063.

Almost surely, 2^18672960 is an apocalyptic number.

18672960 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 18672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30284928).

18672960 is an abundant number, since it is smaller than the sum of its proper divisors (41896896).

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

18672960 is a wasteful number, since it uses less digits than its factorization.

18672960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 18672960 is about 4321.2220493745. Note that the first 3 decimals coincide. The cubic root of 18672960 is about 265.3002885261.

The spelling of 18672960 in words is "eighteen million, six hundred seventy-two thousand, nine hundred sixty".