206163120 has 80 divisors (see below), whose sum is σ = 641253600. Its totient is φ = 54792192.

The previous prime is 206163107. The next prime is 206163143. The reversal of 206163120 is 21361602.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79606 + ... + 82154.

It is an arithmetic number, because the mean of its divisors is an integer number (8015670).

Almost surely, 2^206163120 is an apocalyptic number.

206163120 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 206163120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320626800).

206163120 is an abundant number, since it is smaller than the sum of its proper divisors (435090480).

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

206163120 is a wasteful number, since it uses less digits than its factorization.

206163120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2902 (or 2896 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 206163120 is about 14358.3815243919. The cubic root of 206163120 is about 590.7499034851.

The spelling of 206163120 in words is "two hundred six million, one hundred sixty-three thousand, one hundred twenty".