18671168 has 42 divisors (see below), whose sum is σ = 39531798. Its totient is φ = 8719360.

The previous prime is 18671153. The next prime is 18671201. The reversal of 18671168 is 86117681.

It can be written as a sum of positive squares in only one way, i.e., 17572864 + 1098304 = 4192^2 + 1048^2 .

It is a super-2 number, since 2×18671168² = 697225028968448, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 142463 + ... + 142593.

Almost surely, 2^18671168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18671168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19765899).

18671168 is an abundant number, since it is smaller than the sum of its proper divisors (20860630).

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

18671168 is an equidigital number, since it uses as much as digits as its factorization.

18671168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 150 counting only the distinct ones).

The product of its digits is 16128, while the sum is 38.

The square root of 18671168 is about 4321.0146956473. The cubic root of 18671168 is about 265.2918015066.

The spelling of 18671168 in words is "eighteen million, six hundred seventy-one thousand, one hundred sixty-eight".