20116160 has 56 divisors (see below), whose sum is σ = 49225200. Its totient is φ = 7824384.

The previous prime is 20116133. The next prime is 20116163. The reversal of 20116160 is 6161102.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20116163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10991 + ... + 12689.

Almost surely, 2^20116160 is an apocalyptic number.

20116160 is a gapful number since it is divisible by the number (20) 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 20116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24612600).

20116160 is an abundant number, since it is smaller than the sum of its proper divisors (29109040).

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

20116160 is a wasteful number, since it uses less digits than its factorization.

20116160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 20116160 is about 4485.1042351321. The cubic root of 20116160 is about 271.9662587904.

Adding to 20116160 its reverse (6161102), we get a palindrome (26277262).

It can be divided in two parts, 201 and 16160, that added together give a palindrome (16361).

The spelling of 20116160 in words is "twenty million, one hundred sixteen thousand, one hundred sixty".