18882160 has 80 divisors (see below), whose sum is σ = 49104000. Its totient is φ = 6693120.

The previous prime is 18882139. The next prime is 18882163. The reversal of 18882160 is 6128881.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18882163) 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, 37591 + ... + 38089.

It is an arithmetic number, because the mean of its divisors is an integer number (613800).

Almost surely, 2^18882160 is an apocalyptic number.

18882160 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 18882160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24552000).

18882160 is an abundant number, since it is smaller than the sum of its proper divisors (30221840).

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

18882160 is a wasteful number, since it uses less digits than its factorization.

18882160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 34.

The square root of 18882160 is about 4345.3607445182. The cubic root of 18882160 is about 266.2873635178.

It can be divided in two parts, 188821 and 60, that added together give a palindrome (188881).

The spelling of 18882160 in words is "eighteen million, eight hundred eighty-two thousand, one hundred sixty".