20112160 has 48 divisors (see below), whose sum is σ = 47783736. Its totient is φ = 7999488.

The previous prime is 20112151. The next prime is 20112179. The reversal of 20112160 is 6121102.

It can be written as a sum of positive squares in 4 ways, for example, as 14409616 + 5702544 = 3796^2 + 2388^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20112160.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53734 + ... + 54106.

Almost surely, 2^20112160 is an apocalyptic number.

20112160 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 20112160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23891868).

20112160 is an abundant number, since it is smaller than the sum of its proper divisors (27671576).

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

20112160 is a wasteful number, since it uses less digits than its factorization.

20112160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 20112160 is about 4484.6582924455. The cubic root of 20112160 is about 271.9482312088.

Adding to 20112160 its reverse (6121102), we get a palindrome (26233262).

The spelling of 20112160 in words is "twenty million, one hundred twelve thousand, one hundred sixty".