20168120 has 128 divisors (see below), whose sum is σ = 58060800. Its totient is φ = 6137856.

The previous prime is 20168119. The next prime is 20168129. The reversal of 20168120 is 2186102.

It is a super-3 number, since 3×20168120³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20168092 and 20168101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20168129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90329 + ... + 90551.

It is an arithmetic number, because the mean of its divisors is an integer number (453600).

Almost surely, 2^20168120 is an apocalyptic number.

20168120 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 20168120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29030400).

20168120 is an abundant number, since it is smaller than the sum of its proper divisors (37892680).

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

20168120 is a wasteful number, since it uses less digits than its factorization.

20168120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 20168120 is about 4490.8930069642. The cubic root of 20168120 is about 272.2002202280.

The spelling of 20168120 in words is "twenty million, one hundred sixty-eight thousand, one hundred twenty".