20208120 has 64 divisors (see below), whose sum is σ = 61931520. Its totient is φ = 5272704.

The previous prime is 20208109. The next prime is 20208163. The reversal of 20208120 is 2180202.

It is a super-2 number, since 2×20208120² = 816736227868800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20208120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3849 + ... + 7431.

It is an arithmetic number, because the mean of its divisors is an integer number (967680).

Almost surely, 2^20208120 is an apocalyptic number.

20208120 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 20208120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30965760).

20208120 is an abundant number, since it is smaller than the sum of its proper divisors (41723400).

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

20208120 is a wasteful number, since it uses less digits than its factorization.

20208120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3644 (or 3640 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 20208120 is about 4495.3442582298. The cubic root of 20208120 is about 272.3800555087.

Adding to 20208120 its reverse (2180202), we get a palindrome (22388322).

The spelling of 20208120 in words is "twenty million, two hundred eight thousand, one hundred twenty".