10818160 has 40 divisors (see below), whose sum is σ = 26025120. Its totient is φ = 4177152.

The previous prime is 10818149. The next prime is 10818169. The reversal of 10818160 is 6181801.

10818160 = T₁₁₅ + T₁₁₆ + ... + T₄₀₄.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10818169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12 + ... + 4651.

It is an arithmetic number, because the mean of its divisors is an integer number (650628).

Almost surely, 2^10818160 is an apocalyptic number.

10818160 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 10818160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13012560).

10818160 is an abundant number, since it is smaller than the sum of its proper divisors (15206960).

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

10818160 is a wasteful number, since it uses less digits than its factorization.

10818160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4705 (or 4699 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 25.

The square root of 10818160 is about 3289.0971405539. The cubic root of 10818160 is about 221.1657131570.

Adding to 10818160 its reverse (6181801), we get a palindrome (16999961).

It can be divided in two parts, 108181 and 60, that added together give a square (108241 = 329²).

The spelling of 10818160 in words is "ten million, eight hundred eighteen thousand, one hundred sixty".