18668160 has 192 divisors, whose sum is σ = 73831680. Its totient is φ = 4257792.

The previous prime is 18668123. The next prime is 18668179. The reversal of 18668160 is 6186681.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40089 + ... + 40551.

It is an arithmetic number, because the mean of its divisors is an integer number (384540).

Almost surely, 2^18668160 is an apocalyptic number.

18668160 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 18668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36915840).

18668160 is an abundant number, since it is smaller than the sum of its proper divisors (55163520).

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

18668160 is a wasteful number, since it uses less digits than its factorization.

18668160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 18668160 is about 4320.6666152343. Note that the first 4 decimals coincide. The cubic root of 18668160 is about 265.2775542173.

The spelling of 18668160 in words is "eighteen million, six hundred sixty-eight thousand, one hundred sixty".