20005160 has 64 divisors (see below), whose sum is σ = 52859520. Its totient is φ = 6670080.

The previous prime is 20005159. The next prime is 20005163. The reversal of 20005160 is 6150002.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (20005163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9395 + ... + 11325.

It is an arithmetic number, because the mean of its divisors is an integer number (825930).

Almost surely, 2^20005160 is an apocalyptic number.

20005160 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 20005160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26429760).

20005160 is an abundant number, since it is smaller than the sum of its proper divisors (32854360).

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

20005160 is a wasteful number, since it uses less digits than its factorization.

20005160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1986 (or 1982 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 20005160 is about 4472.7128233322. The cubic root of 20005160 is about 271.4651036437.

Adding to 20005160 its reverse (6150002), we get a palindrome (26155162).

The spelling of 20005160 in words is "twenty million, five thousand, one hundred sixty".