18821160 has 160 divisors (see below), whose sum is σ = 65383560. Its totient is φ = 4852224.

The previous prime is 18821147. The next prime is 18821161. The reversal of 18821160 is 6112881.

It can be written as a sum of positive squares in 4 ways, for example, as 16695396 + 2125764 = 4086^2 + 1458^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (18821161) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 119802 + ... + 119958.

Almost surely, 2^18821160 is an apocalyptic number.

18821160 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 18821160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32691780).

18821160 is an abundant number, since it is smaller than the sum of its proper divisors (46562400).

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

18821160 is a wasteful number, since it uses less digits than its factorization.

18821160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 18821160 is about 4338.3360865659. The cubic root of 18821160 is about 266.0003015053. Note that the first 3 decimals are identical.

It can be divided in two parts, 18821 and 160, that added together give a palindrome (18981).

The spelling of 18821160 in words is "eighteen million, eight hundred twenty-one thousand, one hundred sixty".