18975168 has 112 divisors (see below), whose sum is σ = 56896000. Its totient is φ = 6200064.

The previous prime is 18975163. The next prime is 18975199. The reversal of 18975168 is 86157981.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18975163) 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, 136443 + ... + 136581.

It is an arithmetic number, because the mean of its divisors is an integer number (508000).

Almost surely, 2^18975168 is an apocalyptic number.

18975168 is a gapful number since it is divisible by the number (18) 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 18975168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28448000).

18975168 is an abundant number, since it is smaller than the sum of its proper divisors (37920832).

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

18975168 is a wasteful number, since it uses less digits than its factorization.

18975168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 223 counting only the distinct ones).

The product of its digits is 120960, while the sum is 45.

The square root of 18975168 is about 4356.0495864946. The cubic root of 18975168 is about 266.7238655080.

It can be divided in two parts, 189 and 75168, that added together give a palindrome (75357).

The spelling of 18975168 in words is "eighteen million, nine hundred seventy-five thousand, one hundred sixty-eight".