18822160 has 160 divisors (see below), whose sum is σ = 55353600. Its totient is φ = 5806080.

The previous prime is 18822143. The next prime is 18822161. The reversal of 18822160 is 6122881.

18822160 = T₇₈₄ + T₇₈₅ + ... + T₈₄₀.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18822161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 308530 + ... + 308590.

It is an arithmetic number, because the mean of its divisors is an integer number (345960).

Almost surely, 2^18822160 is an apocalyptic number.

18822160 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 18822160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27676800).

18822160 is an abundant number, since it is smaller than the sum of its proper divisors (36531440).

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

18822160 is a wasteful number, since it uses less digits than its factorization.

18822160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 18822160 is about 4338.4513365947. The cubic root of 18822160 is about 266.0050124369.

18822160 divided by its sum of digits (28) gives a triangular number (672220 = T₁₁₅₉).

The spelling of 18822160 in words is "eighteen million, eight hundred twenty-two thousand, one hundred sixty".