20705160 has 96 divisors (see below), whose sum is σ = 71444160. Its totient is φ = 4702464.

The previous prime is 20705147. The next prime is 20705171. The reversal of 20705160 is 6150702.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131802 + ... + 131958.

It is an arithmetic number, because the mean of its divisors is an integer number (744210).

Almost surely, 2^20705160 is an apocalyptic number.

20705160 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 20705160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35722080).

20705160 is an abundant number, since it is smaller than the sum of its proper divisors (50739000).

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

20705160 is a wasteful number, since it uses less digits than its factorization.

20705160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 20705160 is about 4550.2922983035. The cubic root of 20705160 is about 274.5951508386.

Adding to 20705160 its reverse (6150702), we get a palindrome (26855862).

The spelling of 20705160 in words is "twenty million, seven hundred five thousand, one hundred sixty".